What is the Least Common Multiple of 79180 and 79188?

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 79180 and 79188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79180 and 79188, than apply into the LCM equation.

GCF(79180,79188) = 4
LCM(79180,79188) = ( 79180 × 79188) / 4
LCM(79180,79188) = 6270105840 / 4
LCM(79180,79188) = 1567526460

Least Common Multiple (LCM) of 79180 and 79188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79180 and 79188. First we will calculate the prime factors of 79180 and 79188.

Prime Factorization of 79180

Prime Factorization of 79188

Now multiplying the highest exponent prime factors to calculate the LCM of 79180 and 79188.

LCM(79180,79188) = 2² × 5¹ × 37¹ × 107¹ × 3¹ × 6599¹
LCM(79180,79188) = 1567526460