What is the Least Common Multiple of 79572 and 79586?

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 79572 and 79586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79572 and 79586, than apply into the LCM equation.

GCF(79572,79586) = 2
LCM(79572,79586) = ( 79572 × 79586) / 2
LCM(79572,79586) = 6332817192 / 2
LCM(79572,79586) = 3166408596

Least Common Multiple (LCM) of 79572 and 79586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79572 and 79586. First we will calculate the prime factors of 79572 and 79586.

Prime Factorization of 79572

Prime Factorization of 79586

Now multiplying the highest exponent prime factors to calculate the LCM of 79572 and 79586.

LCM(79572,79586) = 2² × 3¹ × 19¹ × 349¹ × 13¹ × 3061¹
LCM(79572,79586) = 3166408596