LCM of 36 and 75 is 900

In mathematics, least common multiple which is commonly known as LCM is defined as the smallest non-zero number which is divisible by both given numbers 36 and 75.

- The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 36 and 75 is 900, where 36 and 75 are less than 900.
- LCM is associative which means LCM(36, 75) = LCM(75, 36).
- LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
- LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
- The LCM of two or more prime numbers is their product.

- Find some first multiples of 36 and 75.
- Find the least common multiple, and read off the answer!

- Multiples of
**36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836, 1872, 1908, 1944, 1980, 2016, 2052, 2088, 2124, 2160, 2196, 2232, 2268, 2304, 2340, 2376, 2412, 2448, 2484, 2520, 2556, 2592, 2628, 2664, 2700** - Multiples of
**75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350, 1425, 1500, 1575, 1650, 1725, 1800, 1875, 1950, 2025, 2100, 2175, 2250, 2325, 2400, 2475, 2550, 2625, 2700**

Hence, LCM of
*36* and *75* is **900**.

- Find all the prime numbers that would divide 36 and 75 without leaving any remainder.
- Multiply the numbers obtained in step 1, and read off the answer!

2 | 36 75 |

2 | 18 75 |

3 | 9 75 |

3 | 3 25 |

5 | 1 25 |

5 | 1 5 |

1 1 |

Hence, LCM of
*36* and *75* is **2 x 2 x 3 x 3 x 5 x 5 = 900**.

- The formula for LCM is LCM (36, 75) = (36 x 75) / GCF (36, 75)
- Apply the formula, and read off the answer!

- GCF of
**36 and 75 = 3** - LCM of
**36 and 75 = (36 x 75) / 3** **=> 2700 / 3**

Hence, LCM of
*36* and *75* is **900**.

Ram and Deepika are running on a circular track. They take 36 and 75 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 36 and 75.

So, LCM of 36 and 75 is 900.

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 36 and 75.

So, LCM of 36 and 75 is 900.

Greatest common factors or gcf of 36 and 75 is GCF(36, 75) * LCM(36, 75) = (36 x 75) / GCF(36, 75) = 900.

To find the least number of textbooks that each company could have printed we need to find the LCM of 36 and 75.

So, LCM of 36 and 75 is 900.

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.

So, LCM of 36 and 75 is 900.

Least common multiple of 36 and 75 is 900.

Least number which is exactly divisible by 36 and 75 is 900.