What is the Least Common Multiple of 21108 and 21119?

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 21119 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 21119, than apply into the LCM equation.

GCF(21108,21119) = 1
LCM(21108,21119) = ( 21108 × 21119) / 1
LCM(21108,21119) = 445779852 / 1
LCM(21108,21119) = 445779852

Least Common Multiple (LCM) of 21108 and 21119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21108 and 21119. First we will calculate the prime factors of 21108 and 21119.

Prime Factorization of 21108

Prime Factorization of 21119

Now multiplying the highest exponent prime factors to calculate the LCM of 21108 and 21119.

LCM(21108,21119) = 2² × 3¹ × 1759¹ × 7² × 431¹
LCM(21108,21119) = 445779852