What is the Least Common Multiple of 24950 and 24964?

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 24950 and 24964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24950 and 24964, than apply into the LCM equation.

GCF(24950,24964) = 2
LCM(24950,24964) = ( 24950 × 24964) / 2
LCM(24950,24964) = 622851800 / 2
LCM(24950,24964) = 311425900

Least Common Multiple (LCM) of 24950 and 24964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24950 and 24964. First we will calculate the prime factors of 24950 and 24964.

Prime Factorization of 24950

Prime Factorization of 24964

Now multiplying the highest exponent prime factors to calculate the LCM of 24950 and 24964.

LCM(24950,24964) = 2² × 5² × 499¹ × 79²
LCM(24950,24964) = 311425900