What is the Least Common Multiple of 24672 and 24686?

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 24686 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 24686, than apply into the LCM equation.

GCF(24672,24686) = 2
LCM(24672,24686) = ( 24672 × 24686) / 2
LCM(24672,24686) = 609052992 / 2
LCM(24672,24686) = 304526496

Least Common Multiple (LCM) of 24672 and 24686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24672 and 24686. First we will calculate the prime factors of 24672 and 24686.

Prime Factorization of 24672

Prime Factorization of 24686

Now multiplying the highest exponent prime factors to calculate the LCM of 24672 and 24686.

LCM(24672,24686) = 2⁵ × 3¹ × 257¹ × 12343¹
LCM(24672,24686) = 304526496