What is the Least Common Multiple of 79374 and 79390?

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 79374 and 79390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79374 and 79390, than apply into the LCM equation.

GCF(79374,79390) = 2
LCM(79374,79390) = ( 79374 × 79390) / 2
LCM(79374,79390) = 6301501860 / 2
LCM(79374,79390) = 3150750930

Least Common Multiple (LCM) of 79374 and 79390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79374 and 79390. First we will calculate the prime factors of 79374 and 79390.

Prime Factorization of 79374

Prime Factorization of 79390

Now multiplying the highest exponent prime factors to calculate the LCM of 79374 and 79390.

LCM(79374,79390) = 2¹ × 3¹ × 13229¹ × 5¹ × 17¹ × 467¹
LCM(79374,79390) = 3150750930