What is the Least Common Multiple of 21633 and 21646?

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 21646 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 21646, than apply into the LCM equation.

GCF(21633,21646) = 1
LCM(21633,21646) = ( 21633 × 21646) / 1
LCM(21633,21646) = 468267918 / 1
LCM(21633,21646) = 468267918

Least Common Multiple (LCM) of 21633 and 21646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21633 and 21646. First we will calculate the prime factors of 21633 and 21646.

Prime Factorization of 21633

Prime Factorization of 21646

Now multiplying the highest exponent prime factors to calculate the LCM of 21633 and 21646.

LCM(21633,21646) = 3¹ × 7211¹ × 2¹ × 79¹ × 137¹
LCM(21633,21646) = 468267918