What is the Least Common Multiple of 21372 and 21377?

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 21372 and 21377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21372 and 21377, than apply into the LCM equation.

GCF(21372,21377) = 1
LCM(21372,21377) = ( 21372 × 21377) / 1
LCM(21372,21377) = 456869244 / 1
LCM(21372,21377) = 456869244

Least Common Multiple (LCM) of 21372 and 21377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21372 and 21377. First we will calculate the prime factors of 21372 and 21377.

Prime Factorization of 21372

Prime Factorization of 21377

Now multiplying the highest exponent prime factors to calculate the LCM of 21372 and 21377.

LCM(21372,21377) = 2² × 3¹ × 13¹ × 137¹ × 21377¹
LCM(21372,21377) = 456869244