What is the Least Common Multiple of 21633 and 21648?

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 21633 and 21648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21633 and 21648, than apply into the LCM equation.

GCF(21633,21648) = 3
LCM(21633,21648) = ( 21633 × 21648) / 3
LCM(21633,21648) = 468311184 / 3
LCM(21633,21648) = 156103728

Least Common Multiple (LCM) of 21633 and 21648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21633 and 21648. First we will calculate the prime factors of 21633 and 21648.

Prime Factorization of 21633

Prime Factorization of 21648

Now multiplying the highest exponent prime factors to calculate the LCM of 21633 and 21648.

LCM(21633,21648) = 3¹ × 7211¹ × 2⁴ × 11¹ × 41¹
LCM(21633,21648) = 156103728