What is the Least Common Multiple of 79908 and 79923?

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 79908 and 79923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79908 and 79923, than apply into the LCM equation.

GCF(79908,79923) = 3
LCM(79908,79923) = ( 79908 × 79923) / 3
LCM(79908,79923) = 6386487084 / 3
LCM(79908,79923) = 2128829028

Least Common Multiple (LCM) of 79908 and 79923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79908 and 79923. First we will calculate the prime factors of 79908 and 79923.

Prime Factorization of 79908

Prime Factorization of 79923

Now multiplying the highest exponent prime factors to calculate the LCM of 79908 and 79923.

LCM(79908,79923) = 2² × 3¹ × 6659¹ × 26641¹
LCM(79908,79923) = 2128829028