What is the Least Common Multiple of 24798 and 24812?

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 24798 and 24812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24798 and 24812, than apply into the LCM equation.

GCF(24798,24812) = 2
LCM(24798,24812) = ( 24798 × 24812) / 2
LCM(24798,24812) = 615287976 / 2
LCM(24798,24812) = 307643988

Least Common Multiple (LCM) of 24798 and 24812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24798 and 24812. First we will calculate the prime factors of 24798 and 24812.

Prime Factorization of 24798

Prime Factorization of 24812

Now multiplying the highest exponent prime factors to calculate the LCM of 24798 and 24812.

LCM(24798,24812) = 2² × 3¹ × 4133¹ × 6203¹
LCM(24798,24812) = 307643988