What is the Least Common Multiple of 24944 and 24952?

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 24944 and 24952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24944 and 24952, than apply into the LCM equation.

GCF(24944,24952) = 8
LCM(24944,24952) = ( 24944 × 24952) / 8
LCM(24944,24952) = 622402688 / 8
LCM(24944,24952) = 77800336

Least Common Multiple (LCM) of 24944 and 24952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24944 and 24952. First we will calculate the prime factors of 24944 and 24952.

Prime Factorization of 24944

Prime Factorization of 24952

Now multiplying the highest exponent prime factors to calculate the LCM of 24944 and 24952.

LCM(24944,24952) = 2⁴ × 1559¹ × 3119¹
LCM(24944,24952) = 77800336