What is the Least Common Multiple of 21612 and 21631?

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 21612 and 21631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21612 and 21631, than apply into the LCM equation.

GCF(21612,21631) = 1
LCM(21612,21631) = ( 21612 × 21631) / 1
LCM(21612,21631) = 467489172 / 1
LCM(21612,21631) = 467489172

Least Common Multiple (LCM) of 21612 and 21631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21612 and 21631. First we will calculate the prime factors of 21612 and 21631.

Prime Factorization of 21612

Prime Factorization of 21631

Now multiplying the highest exponent prime factors to calculate the LCM of 21612 and 21631.

LCM(21612,21631) = 2² × 3¹ × 1801¹ × 97¹ × 223¹
LCM(21612,21631) = 467489172