What is the Least Common Multiple of 23628 and 23639?

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 23628 and 23639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23628 and 23639, than apply into the LCM equation.

GCF(23628,23639) = 11
LCM(23628,23639) = ( 23628 × 23639) / 11
LCM(23628,23639) = 558542292 / 11
LCM(23628,23639) = 50776572

Least Common Multiple (LCM) of 23628 and 23639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23628 and 23639. First we will calculate the prime factors of 23628 and 23639.

Prime Factorization of 23628

Prime Factorization of 23639

Now multiplying the highest exponent prime factors to calculate the LCM of 23628 and 23639.

LCM(23628,23639) = 2² × 3¹ × 11¹ × 179¹ × 7¹ × 307¹
LCM(23628,23639) = 50776572