What is the Least Common Multiple of 21135 and 21140?

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 21135 and 21140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21135 and 21140, than apply into the LCM equation.

GCF(21135,21140) = 5
LCM(21135,21140) = ( 21135 × 21140) / 5
LCM(21135,21140) = 446793900 / 5
LCM(21135,21140) = 89358780

Least Common Multiple (LCM) of 21135 and 21140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21135 and 21140. First we will calculate the prime factors of 21135 and 21140.

Prime Factorization of 21135

Prime Factorization of 21140

Now multiplying the highest exponent prime factors to calculate the LCM of 21135 and 21140.

LCM(21135,21140) = 3¹ × 5¹ × 1409¹ × 2² × 7¹ × 151¹
LCM(21135,21140) = 89358780