What is the Least Common Multiple of 23652 and 23664?

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 23652 and 23664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23652 and 23664, than apply into the LCM equation.

GCF(23652,23664) = 12
LCM(23652,23664) = ( 23652 × 23664) / 12
LCM(23652,23664) = 559700928 / 12
LCM(23652,23664) = 46641744

Least Common Multiple (LCM) of 23652 and 23664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23652 and 23664. First we will calculate the prime factors of 23652 and 23664.

Prime Factorization of 23652

Prime Factorization of 23664

Now multiplying the highest exponent prime factors to calculate the LCM of 23652 and 23664.

LCM(23652,23664) = 2⁴ × 3⁴ × 73¹ × 17¹ × 29¹
LCM(23652,23664) = 46641744