What is the Least Common Multiple of 24256 and 24272?

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 24256 and 24272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24256 and 24272, than apply into the LCM equation.

GCF(24256,24272) = 16
LCM(24256,24272) = ( 24256 × 24272) / 16
LCM(24256,24272) = 588741632 / 16
LCM(24256,24272) = 36796352

Least Common Multiple (LCM) of 24256 and 24272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24256 and 24272. First we will calculate the prime factors of 24256 and 24272.

Prime Factorization of 24256

Prime Factorization of 24272

Now multiplying the highest exponent prime factors to calculate the LCM of 24256 and 24272.

LCM(24256,24272) = 2⁶ × 379¹ × 37¹ × 41¹
LCM(24256,24272) = 36796352