What is the Least Common Multiple of 79072 and 79088?

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 79072 and 79088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79072 and 79088, than apply into the LCM equation.

GCF(79072,79088) = 16
LCM(79072,79088) = ( 79072 × 79088) / 16
LCM(79072,79088) = 6253646336 / 16
LCM(79072,79088) = 390852896

Least Common Multiple (LCM) of 79072 and 79088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79072 and 79088. First we will calculate the prime factors of 79072 and 79088.

Prime Factorization of 79072

Prime Factorization of 79088

Now multiplying the highest exponent prime factors to calculate the LCM of 79072 and 79088.

LCM(79072,79088) = 2⁵ × 7¹ × 353¹ × 4943¹
LCM(79072,79088) = 390852896