What is the Least Common Multiple of 21312 and 21323?

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 21312 and 21323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21312 and 21323, than apply into the LCM equation.

GCF(21312,21323) = 1
LCM(21312,21323) = ( 21312 × 21323) / 1
LCM(21312,21323) = 454435776 / 1
LCM(21312,21323) = 454435776

Least Common Multiple (LCM) of 21312 and 21323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21312 and 21323. First we will calculate the prime factors of 21312 and 21323.

Prime Factorization of 21312

Prime Factorization of 21323

Now multiplying the highest exponent prime factors to calculate the LCM of 21312 and 21323.

LCM(21312,21323) = 2⁶ × 3² × 37¹ × 21323¹
LCM(21312,21323) = 454435776