What is the Least Common Multiple of 73635 and 73646?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 73635 and 73646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73635 and 73646, than apply into the LCM equation.

GCF(73635,73646) = 1
LCM(73635,73646) = ( 73635 × 73646) / 1
LCM(73635,73646) = 5422923210 / 1
LCM(73635,73646) = 5422923210

Least Common Multiple (LCM) of 73635 and 73646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73635 and 73646. First we will calculate the prime factors of 73635 and 73646.

Prime Factorization of 73635

Prime Factorization of 73646

Now multiplying the highest exponent prime factors to calculate the LCM of 73635 and 73646.

LCM(73635,73646) = 3¹ × 5¹ × 4909¹ × 2¹ × 23¹ × 1601¹
LCM(73635,73646) = 5422923210