What is the Least Common Multiple of 21252 and 21261?

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 21252 and 21261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21252 and 21261, than apply into the LCM equation.

GCF(21252,21261) = 3
LCM(21252,21261) = ( 21252 × 21261) / 3
LCM(21252,21261) = 451838772 / 3
LCM(21252,21261) = 150612924

Least Common Multiple (LCM) of 21252 and 21261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21252 and 21261. First we will calculate the prime factors of 21252 and 21261.

Prime Factorization of 21252

Prime Factorization of 21261

Now multiplying the highest exponent prime factors to calculate the LCM of 21252 and 21261.

LCM(21252,21261) = 2² × 3¹ × 7¹ × 11¹ × 23¹ × 19¹ × 373¹
LCM(21252,21261) = 150612924