What is the Least Common Multiple of 21123 and 21135?

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 21123 and 21135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21123 and 21135, than apply into the LCM equation.

GCF(21123,21135) = 3
LCM(21123,21135) = ( 21123 × 21135) / 3
LCM(21123,21135) = 446434605 / 3
LCM(21123,21135) = 148811535

Least Common Multiple (LCM) of 21123 and 21135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21123 and 21135. First we will calculate the prime factors of 21123 and 21135.

Prime Factorization of 21123

Prime Factorization of 21135

Now multiplying the highest exponent prime factors to calculate the LCM of 21123 and 21135.

LCM(21123,21135) = 3² × 2347¹ × 5¹ × 1409¹
LCM(21123,21135) = 148811535