What is the Least Common Multiple of 79204 and 79224?

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 79204 and 79224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79204 and 79224, than apply into the LCM equation.

GCF(79204,79224) = 4
LCM(79204,79224) = ( 79204 × 79224) / 4
LCM(79204,79224) = 6274857696 / 4
LCM(79204,79224) = 1568714424

Least Common Multiple (LCM) of 79204 and 79224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79204 and 79224. First we will calculate the prime factors of 79204 and 79224.

Prime Factorization of 79204

Prime Factorization of 79224

Now multiplying the highest exponent prime factors to calculate the LCM of 79204 and 79224.

LCM(79204,79224) = 2³ × 19801¹ × 3¹ × 3301¹
LCM(79204,79224) = 1568714424