What is the Least Common Multiple of 24972 and 24991?

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 24972 and 24991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24972 and 24991, than apply into the LCM equation.

GCF(24972,24991) = 1
LCM(24972,24991) = ( 24972 × 24991) / 1
LCM(24972,24991) = 624075252 / 1
LCM(24972,24991) = 624075252

Least Common Multiple (LCM) of 24972 and 24991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24972 and 24991. First we will calculate the prime factors of 24972 and 24991.

Prime Factorization of 24972

Prime Factorization of 24991

Now multiplying the highest exponent prime factors to calculate the LCM of 24972 and 24991.

LCM(24972,24991) = 2² × 3¹ × 2081¹ × 67¹ × 373¹
LCM(24972,24991) = 624075252