What is the Least Common Multiple of 79400 and 79412?

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 79400 and 79412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79400 and 79412, than apply into the LCM equation.

GCF(79400,79412) = 4
LCM(79400,79412) = ( 79400 × 79412) / 4
LCM(79400,79412) = 6305312800 / 4
LCM(79400,79412) = 1576328200

Least Common Multiple (LCM) of 79400 and 79412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79400 and 79412. First we will calculate the prime factors of 79400 and 79412.

Prime Factorization of 79400

Prime Factorization of 79412

Now multiplying the highest exponent prime factors to calculate the LCM of 79400 and 79412.

LCM(79400,79412) = 2³ × 5² × 397¹ × 19853¹
LCM(79400,79412) = 1576328200