What is the Least Common Multiple of 79380 and 79400?

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 79380 and 79400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79380 and 79400, than apply into the LCM equation.

GCF(79380,79400) = 20
LCM(79380,79400) = ( 79380 × 79400) / 20
LCM(79380,79400) = 6302772000 / 20
LCM(79380,79400) = 315138600

Least Common Multiple (LCM) of 79380 and 79400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79380 and 79400. First we will calculate the prime factors of 79380 and 79400.

Prime Factorization of 79380

Prime Factorization of 79400

Now multiplying the highest exponent prime factors to calculate the LCM of 79380 and 79400.

LCM(79380,79400) = 2³ × 3⁴ × 5² × 7² × 397¹
LCM(79380,79400) = 315138600