What is the Least Common Multiple of 79092 and 79101?

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 79092 and 79101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79092 and 79101, than apply into the LCM equation.

GCF(79092,79101) = 9
LCM(79092,79101) = ( 79092 × 79101) / 9
LCM(79092,79101) = 6256256292 / 9
LCM(79092,79101) = 695139588

Least Common Multiple (LCM) of 79092 and 79101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79092 and 79101. First we will calculate the prime factors of 79092 and 79101.

Prime Factorization of 79092

Prime Factorization of 79101

Now multiplying the highest exponent prime factors to calculate the LCM of 79092 and 79101.

LCM(79092,79101) = 2² × 3² × 13³ × 11¹ × 17¹ × 47¹
LCM(79092,79101) = 695139588