What is the Least Common Multiple of 79256 and 79270?

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 79256 and 79270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79256 and 79270, than apply into the LCM equation.

GCF(79256,79270) = 2
LCM(79256,79270) = ( 79256 × 79270) / 2
LCM(79256,79270) = 6282623120 / 2
LCM(79256,79270) = 3141311560

Least Common Multiple (LCM) of 79256 and 79270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79256 and 79270. First we will calculate the prime factors of 79256 and 79270.

Prime Factorization of 79256

Prime Factorization of 79270

Now multiplying the highest exponent prime factors to calculate the LCM of 79256 and 79270.

LCM(79256,79270) = 2³ × 9907¹ × 5¹ × 7927¹
LCM(79256,79270) = 3141311560