Find the Lcm of 717,621

To find the Lcm you find the prime factorization of both numbers and cancel out the common factors

(For example 36, 24. Prime factorization of 36 equals 3*3*2*2 and Prime factorization of 24 is 3*2*2*2. Then you cancel out what they have in common so you end up with 2*2*2*3*3=72.)

Note: Prime Factorization is all the prime numbers you multiply to get your final number (all numbers are made up of prime numbers). When you multiply the prime factorizations here is how you know what to do. 36 needs two 2's but 24 needs three 2's there are two 2's inside of three 2's so you just use three 2's.

Now it is the same problem with 717 and 621.

717=3*239 and 621 = 3*3*3*21

Lcm = 3*3*3*239*21=135513

First find the prime factors of the 2 numbers:-

717 = 3 * 239

621 = 3 * 3 * 3 * 23

So the LCM = 3*3*3*239*23 = 148,419

(Note that there is one duplicate (3) so the 3 only appears once in the factors)