What is the Least Common Multiple of 79224 and 79239?

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 79224 and 79239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79224 and 79239, than apply into the LCM equation.

GCF(79224,79239) = 3
LCM(79224,79239) = ( 79224 × 79239) / 3
LCM(79224,79239) = 6277630536 / 3
LCM(79224,79239) = 2092543512

Least Common Multiple (LCM) of 79224 and 79239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79224 and 79239. First we will calculate the prime factors of 79224 and 79239.

Prime Factorization of 79224

Prime Factorization of 79239

Now multiplying the highest exponent prime factors to calculate the LCM of 79224 and 79239.

LCM(79224,79239) = 2³ × 3¹ × 3301¹ × 61¹ × 433¹
LCM(79224,79239) = 2092543512