What is the Least Common Multiple of 21108 and 21123?

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 21108 and 21123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21108 and 21123, than apply into the LCM equation.

GCF(21108,21123) = 3
LCM(21108,21123) = ( 21108 × 21123) / 3
LCM(21108,21123) = 445864284 / 3
LCM(21108,21123) = 148621428

Least Common Multiple (LCM) of 21108 and 21123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21108 and 21123. First we will calculate the prime factors of 21108 and 21123.

Prime Factorization of 21108

Prime Factorization of 21123

Now multiplying the highest exponent prime factors to calculate the LCM of 21108 and 21123.

LCM(21108,21123) = 2² × 3² × 1759¹ × 2347¹
LCM(21108,21123) = 148621428