What is the Least Common Multiple of 79609 and 79622?

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 79609 and 79622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79609 and 79622, than apply into the LCM equation.

GCF(79609,79622) = 1
LCM(79609,79622) = ( 79609 × 79622) / 1
LCM(79609,79622) = 6338627798 / 1
LCM(79609,79622) = 6338627798

Least Common Multiple (LCM) of 79609 and 79622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79609 and 79622. First we will calculate the prime factors of 79609 and 79622.

Prime Factorization of 79609

Prime Factorization of 79622

Now multiplying the highest exponent prime factors to calculate the LCM of 79609 and 79622.

LCM(79609,79622) = 79609¹ × 2¹ × 41¹ × 971¹
LCM(79609,79622) = 6338627798