What is the Least Common Multiple of 24950 and 24956?

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 24956 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 24956, than apply into the LCM equation.

GCF(24950,24956) = 2
LCM(24950,24956) = ( 24950 × 24956) / 2
LCM(24950,24956) = 622652200 / 2
LCM(24950,24956) = 311326100

Least Common Multiple (LCM) of 24950 and 24956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24950 and 24956. First we will calculate the prime factors of 24950 and 24956.

Prime Factorization of 24950

Prime Factorization of 24956

Now multiplying the highest exponent prime factors to calculate the LCM of 24950 and 24956.

LCM(24950,24956) = 2² × 5² × 499¹ × 17¹ × 367¹
LCM(24950,24956) = 311326100