LCM of 18 and 27 is 54

The least common multiple or LCM of two numbers 18 and 27 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(18, 27).

- LCM follows associative property, that means LCM(18, 27) = LCM(27, 18).
- LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
- LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
- The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 18 and 27 is 54, where 18 and 27 are less than 54.
- The LCM of two or more prime numbers is their product.

- Find some first multiples of 18 and 27.
- Find the least common multiple, and read off the answer!

- Multiples of
**18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486** - Multiples of
**27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486**

Hence, LCM of
*18* and *27* is **54**.

- Find all the prime numbers that would divide 18 and 27 without leaving any remainder.
- Multiply the numbers obtained in step 1, and read off the answer!

2 | 18 27 |

3 | 9 27 |

3 | 3 9 |

3 | 1 3 |

1 1 |

Hence, LCM of
*18* and *27* is **2 x 3 x 3 x 3 = 54**.

- The formula for LCM is LCM (18, 27) = (18 x 27) / GCF (18, 27)
- Apply the formula, and read off the answer!

- GCF of
**18 and 27 = 9** - LCM of
**18 and 27 = (18 x 27) / 9** **=> 486 / 9**

Hence, LCM of
*18* and *27* is **54**.

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 18 and 27.

So, LCM of 18 and 27 is 54.

Given that the cricket team plays every 18 days and the basketball team plays every 27 days, so for finding the next time when both teams will play again we need to find the LCM of 18 and 27.

So, LCM of 18 and 27 is 54.

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 18 and 27.

So, LCM of 18 and 27 is 54.

To find the least number of textbooks that each company could have printed we need to find the LCM of 18 and 27.

So, LCM of 18 and 27 is 54.

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 18 and 27 is 54.

Least common multiple of 18 and 27 is 54.

Least number which is exactly divisible by 18 and 27 is 54.