What is the Least Common Multiple of 23628 and 23648?

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 23648 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 23648, than apply into the LCM equation.

GCF(23628,23648) = 4
LCM(23628,23648) = ( 23628 × 23648) / 4
LCM(23628,23648) = 558754944 / 4
LCM(23628,23648) = 139688736

Least Common Multiple (LCM) of 23628 and 23648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23628 and 23648. First we will calculate the prime factors of 23628 and 23648.

Prime Factorization of 23628

Prime Factorization of 23648

Now multiplying the highest exponent prime factors to calculate the LCM of 23628 and 23648.

LCM(23628,23648) = 2⁵ × 3¹ × 11¹ × 179¹ × 739¹
LCM(23628,23648) = 139688736