What is the Least Common Multiple of 24952 and 24967?

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 24952 and 24967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24952 and 24967, than apply into the LCM equation.

GCF(24952,24967) = 1
LCM(24952,24967) = ( 24952 × 24967) / 1
LCM(24952,24967) = 622976584 / 1
LCM(24952,24967) = 622976584

Least Common Multiple (LCM) of 24952 and 24967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24952 and 24967. First we will calculate the prime factors of 24952 and 24967.

Prime Factorization of 24952

Prime Factorization of 24967

Now multiplying the highest exponent prime factors to calculate the LCM of 24952 and 24967.

LCM(24952,24967) = 2³ × 3119¹ × 24967¹
LCM(24952,24967) = 622976584