What is the Least Common Multiple of 23647 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 23647 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 23647 and 23664, than apply into the LCM equation.

GCF(23647,23664) = 17
LCM(23647,23664) = ( 23647 × 23664) / 17
LCM(23647,23664) = 559582608 / 17
LCM(23647,23664) = 32916624

Least Common Multiple (LCM) of 23647 and 23664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23647 and 23664. First we will calculate the prime factors of 23647 and 23664.

Prime Factorization of 23647

Prime Factorization of 23664

Now multiplying the highest exponent prime factors to calculate the LCM of 23647 and 23664.

LCM(23647,23664) = 13¹ × 17¹ × 107¹ × 2⁴ × 3¹ × 29¹
LCM(23647,23664) = 32916624