What is the Least Common Multiple of 79560 and 79572?

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 79560 and 79572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79560 and 79572, than apply into the LCM equation.

GCF(79560,79572) = 12
LCM(79560,79572) = ( 79560 × 79572) / 12
LCM(79560,79572) = 6330748320 / 12
LCM(79560,79572) = 527562360

Least Common Multiple (LCM) of 79560 and 79572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79560 and 79572. First we will calculate the prime factors of 79560 and 79572.

Prime Factorization of 79560

Prime Factorization of 79572

Now multiplying the highest exponent prime factors to calculate the LCM of 79560 and 79572.

LCM(79560,79572) = 2³ × 3² × 5¹ × 13¹ × 17¹ × 19¹ × 349¹
LCM(79560,79572) = 527562360