What is the Least Common Multiple of 24948 and 24957?

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 24948 and 24957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24948 and 24957, than apply into the LCM equation.

GCF(24948,24957) = 9
LCM(24948,24957) = ( 24948 × 24957) / 9
LCM(24948,24957) = 622627236 / 9
LCM(24948,24957) = 69180804

Least Common Multiple (LCM) of 24948 and 24957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24948 and 24957. First we will calculate the prime factors of 24948 and 24957.

Prime Factorization of 24948

Prime Factorization of 24957

Now multiplying the highest exponent prime factors to calculate the LCM of 24948 and 24957.

LCM(24948,24957) = 2² × 3⁴ × 7¹ × 11¹ × 47¹ × 59¹
LCM(24948,24957) = 69180804