What is the Least Common Multiple of 24672 and 24676?

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 24672 and 24676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24672 and 24676, than apply into the LCM equation.

GCF(24672,24676) = 4
LCM(24672,24676) = ( 24672 × 24676) / 4
LCM(24672,24676) = 608806272 / 4
LCM(24672,24676) = 152201568

Least Common Multiple (LCM) of 24672 and 24676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24672 and 24676. First we will calculate the prime factors of 24672 and 24676.

Prime Factorization of 24672

Prime Factorization of 24676

Now multiplying the highest exponent prime factors to calculate the LCM of 24672 and 24676.

LCM(24672,24676) = 2⁵ × 3¹ × 257¹ × 31¹ × 199¹
LCM(24672,24676) = 152201568