What is the Least Common Multiple of 24956 and 24974?

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 24956 and 24974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24956 and 24974, than apply into the LCM equation.

GCF(24956,24974) = 2
LCM(24956,24974) = ( 24956 × 24974) / 2
LCM(24956,24974) = 623251144 / 2
LCM(24956,24974) = 311625572

Least Common Multiple (LCM) of 24956 and 24974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24956 and 24974. First we will calculate the prime factors of 24956 and 24974.

Prime Factorization of 24956

Prime Factorization of 24974

Now multiplying the highest exponent prime factors to calculate the LCM of 24956 and 24974.

LCM(24956,24974) = 2² × 17¹ × 367¹ × 12487¹
LCM(24956,24974) = 311625572