What is the Least Common Multiple of 79240 and 79256?

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 79240 and 79256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79240 and 79256, than apply into the LCM equation.

GCF(79240,79256) = 8
LCM(79240,79256) = ( 79240 × 79256) / 8
LCM(79240,79256) = 6280245440 / 8
LCM(79240,79256) = 785030680

Least Common Multiple (LCM) of 79240 and 79256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79240 and 79256. First we will calculate the prime factors of 79240 and 79256.

Prime Factorization of 79240

Prime Factorization of 79256

Now multiplying the highest exponent prime factors to calculate the LCM of 79240 and 79256.

LCM(79240,79256) = 2³ × 5¹ × 7¹ × 283¹ × 9907¹
LCM(79240,79256) = 785030680