What is the Least Common Multiple of 21099 and 21108?

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 21099 and 21108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21099 and 21108, than apply into the LCM equation.

GCF(21099,21108) = 3
LCM(21099,21108) = ( 21099 × 21108) / 3
LCM(21099,21108) = 445357692 / 3
LCM(21099,21108) = 148452564

Least Common Multiple (LCM) of 21099 and 21108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21099 and 21108. First we will calculate the prime factors of 21099 and 21108.

Prime Factorization of 21099

Prime Factorization of 21108

Now multiplying the highest exponent prime factors to calculate the LCM of 21099 and 21108.

LCM(21099,21108) = 3¹ × 13¹ × 541¹ × 2² × 1759¹
LCM(21099,21108) = 148452564