What is the Least Common Multiple of 21606 and 21612?

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 21606 and 21612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21606 and 21612, than apply into the LCM equation.

GCF(21606,21612) = 6
LCM(21606,21612) = ( 21606 × 21612) / 6
LCM(21606,21612) = 466948872 / 6
LCM(21606,21612) = 77824812

Least Common Multiple (LCM) of 21606 and 21612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21606 and 21612. First we will calculate the prime factors of 21606 and 21612.

Prime Factorization of 21606

Prime Factorization of 21612

Now multiplying the highest exponent prime factors to calculate the LCM of 21606 and 21612.

LCM(21606,21612) = 2² × 3¹ × 13¹ × 277¹ × 1801¹
LCM(21606,21612) = 77824812