What is the Least Common Multiple of 24928 and 24944?

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 24928 and 24944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24928 and 24944, than apply into the LCM equation.

GCF(24928,24944) = 16
LCM(24928,24944) = ( 24928 × 24944) / 16
LCM(24928,24944) = 621804032 / 16
LCM(24928,24944) = 38862752

Least Common Multiple (LCM) of 24928 and 24944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24928 and 24944. First we will calculate the prime factors of 24928 and 24944.

Prime Factorization of 24928

Prime Factorization of 24944

Now multiplying the highest exponent prime factors to calculate the LCM of 24928 and 24944.

LCM(24928,24944) = 2⁵ × 19¹ × 41¹ × 1559¹
LCM(24928,24944) = 38862752