What is the Least Common Multiple of 79256 and 79274?

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 79274 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 79274, than apply into the LCM equation.

GCF(79256,79274) = 2
LCM(79256,79274) = ( 79256 × 79274) / 2
LCM(79256,79274) = 6282940144 / 2
LCM(79256,79274) = 3141470072

Least Common Multiple (LCM) of 79256 and 79274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79256 and 79274. First we will calculate the prime factors of 79256 and 79274.

Prime Factorization of 79256

Prime Factorization of 79274

Now multiplying the highest exponent prime factors to calculate the LCM of 79256 and 79274.

LCM(79256,79274) = 2³ × 9907¹ × 13¹ × 3049¹
LCM(79256,79274) = 3141470072