LCM of 13 and 17 is 221

The least common multiple or LCM of two numbers 13 and 17 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(13, 17).

- The LCM of two or more prime numbers is exactly equal to their product.
- LCM is associative which means LCM(13, 17) = LCM(17, 13).
- 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 given numbers is always greater than the given numbers numbers. Eg- LCM of 13 and 17 is 221, where 221 is greater than 13 and 17.

- Find some first multiples of 13 and 17.
- Find the least common multiple, and read off the answer!

- Multiples of
**13: 13, 26, 39, 52, 65, 78, 91, 104, 117, 130, 143, 156, 169, 182, 195, 208, 221** - Multiples of
**17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221**

Hence, LCM of
*13* and *17* is **221**.

- Find all the prime numbers that would divide 13 and 17 without leaving any remainder.
- Multiply the numbers obtained in step 1, and read off the answer!

13 | 13 17 |

17 | 1 17 |

1 1 |

Hence, LCM of
*13* and *17* is **13 x 17 = 221**.

- The formula for LCM is LCM (13, 17) = (13 x 17) / GCF (13, 17)
- Apply the formula, and read off the answer!

- GCF of
**13 and 17 = 1** - LCM of
**13 and 17 = (13 x 17) / 1** **=> 221 / 1**

Hence, LCM of
*13* and *17* is **221**.

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 13 and 17.

So, LCM of 13 and 17 is 221.

To find the least height in feet at which the two piles will be at same height we will find LCM of 13 and 17.

So, LCM of 13 and 17 is 221.

To find the least number of textbooks that each company could have printed we need to find the LCM of 13 and 17.

So, LCM of 13 and 17 is 221.

Ram and Deepika are running on a circular track. They take 13 and 17 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 13 and 17.

So, LCM of 13 and 17 is 221.

Greatest common factor or gcf of 13 and 17 is GCF(13, 17) x LCM(13, 17) = (13 x 17) / GCF(13, 17) = 221.

Least common multiple of 13 and 17 is 221.

Least number which is exactly divisible by 13 and 17 is 221.