What is the Least Common Multiple of 24968 and 24977?

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 24968 and 24977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24968 and 24977, than apply into the LCM equation.

GCF(24968,24977) = 1
LCM(24968,24977) = ( 24968 × 24977) / 1
LCM(24968,24977) = 623625736 / 1
LCM(24968,24977) = 623625736

Least Common Multiple (LCM) of 24968 and 24977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24968 and 24977. First we will calculate the prime factors of 24968 and 24977.

Prime Factorization of 24968

Prime Factorization of 24977

Now multiplying the highest exponent prime factors to calculate the LCM of 24968 and 24977.

LCM(24968,24977) = 2³ × 3121¹ × 24977¹
LCM(24968,24977) = 623625736