What is the Least Common Multiple of 79632 and 79646?

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 79632 and 79646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79632 and 79646, than apply into the LCM equation.

GCF(79632,79646) = 14
LCM(79632,79646) = ( 79632 × 79646) / 14
LCM(79632,79646) = 6342370272 / 14
LCM(79632,79646) = 453026448

Least Common Multiple (LCM) of 79632 and 79646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79632 and 79646. First we will calculate the prime factors of 79632 and 79646.

Prime Factorization of 79632

Prime Factorization of 79646

Now multiplying the highest exponent prime factors to calculate the LCM of 79632 and 79646.

LCM(79632,79646) = 2⁴ × 3² × 7¹ × 79¹ × 5689¹
LCM(79632,79646) = 453026448