What is the Least Common Multiple of 79560 and 79570?

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 79570 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 79570, than apply into the LCM equation.

GCF(79560,79570) = 10
LCM(79560,79570) = ( 79560 × 79570) / 10
LCM(79560,79570) = 6330589200 / 10
LCM(79560,79570) = 633058920

Least Common Multiple (LCM) of 79560 and 79570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79560 and 79570. First we will calculate the prime factors of 79560 and 79570.

Prime Factorization of 79560

Prime Factorization of 79570

Now multiplying the highest exponent prime factors to calculate the LCM of 79560 and 79570.

LCM(79560,79570) = 2³ × 3² × 5¹ × 13¹ × 17¹ × 73¹ × 109¹
LCM(79560,79570) = 633058920