What is the Least Common Multiple of 21537 and 21552?

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 21537 and 21552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21537 and 21552, than apply into the LCM equation.

GCF(21537,21552) = 3
LCM(21537,21552) = ( 21537 × 21552) / 3
LCM(21537,21552) = 464165424 / 3
LCM(21537,21552) = 154721808

Least Common Multiple (LCM) of 21537 and 21552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21537 and 21552. First we will calculate the prime factors of 21537 and 21552.

Prime Factorization of 21537

Prime Factorization of 21552

Now multiplying the highest exponent prime factors to calculate the LCM of 21537 and 21552.

LCM(21537,21552) = 3² × 2393¹ × 2⁴ × 449¹
LCM(21537,21552) = 154721808