What is the Least Common Multiple of 24648 and 24657?

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 24648 and 24657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24648 and 24657, than apply into the LCM equation.

GCF(24648,24657) = 3
LCM(24648,24657) = ( 24648 × 24657) / 3
LCM(24648,24657) = 607745736 / 3
LCM(24648,24657) = 202581912

Least Common Multiple (LCM) of 24648 and 24657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24648 and 24657. First we will calculate the prime factors of 24648 and 24657.

Prime Factorization of 24648

Prime Factorization of 24657

Now multiplying the highest exponent prime factors to calculate the LCM of 24648 and 24657.

LCM(24648,24657) = 2³ × 3¹ × 13¹ × 79¹ × 8219¹
LCM(24648,24657) = 202581912