What is the Least Common Multiple of 21108 and 21120?

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 21120 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 21120, than apply into the LCM equation.

GCF(21108,21120) = 12
LCM(21108,21120) = ( 21108 × 21120) / 12
LCM(21108,21120) = 445800960 / 12
LCM(21108,21120) = 37150080

Least Common Multiple (LCM) of 21108 and 21120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21108 and 21120. First we will calculate the prime factors of 21108 and 21120.

Prime Factorization of 21108

Prime Factorization of 21120

Now multiplying the highest exponent prime factors to calculate the LCM of 21108 and 21120.

LCM(21108,21120) = 2⁷ × 3¹ × 1759¹ × 5¹ × 11¹
LCM(21108,21120) = 37150080