What is the Least Common Multiple of 24656 and 24672?

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 24656 and 24672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24656 and 24672, than apply into the LCM equation.

GCF(24656,24672) = 16
LCM(24656,24672) = ( 24656 × 24672) / 16
LCM(24656,24672) = 608312832 / 16
LCM(24656,24672) = 38019552

Least Common Multiple (LCM) of 24656 and 24672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24656 and 24672. First we will calculate the prime factors of 24656 and 24672.

Prime Factorization of 24656

Prime Factorization of 24672

Now multiplying the highest exponent prime factors to calculate the LCM of 24656 and 24672.

LCM(24656,24672) = 2⁵ × 23¹ × 67¹ × 3¹ × 257¹
LCM(24656,24672) = 38019552