What is the Least Common Multiple of 24654 and 24668?

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 24654 and 24668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24654 and 24668, than apply into the LCM equation.

GCF(24654,24668) = 14
LCM(24654,24668) = ( 24654 × 24668) / 14
LCM(24654,24668) = 608164872 / 14
LCM(24654,24668) = 43440348

Least Common Multiple (LCM) of 24654 and 24668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24654 and 24668. First we will calculate the prime factors of 24654 and 24668.

Prime Factorization of 24654

Prime Factorization of 24668

Now multiplying the highest exponent prime factors to calculate the LCM of 24654 and 24668.

LCM(24654,24668) = 2² × 3¹ × 7¹ × 587¹ × 881¹
LCM(24654,24668) = 43440348