What is the Least Common Multiple of 24456 and 24460?

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 24456 and 24460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24456 and 24460, than apply into the LCM equation.

GCF(24456,24460) = 4
LCM(24456,24460) = ( 24456 × 24460) / 4
LCM(24456,24460) = 598193760 / 4
LCM(24456,24460) = 149548440

Least Common Multiple (LCM) of 24456 and 24460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24456 and 24460. First we will calculate the prime factors of 24456 and 24460.

Prime Factorization of 24456

Prime Factorization of 24460

Now multiplying the highest exponent prime factors to calculate the LCM of 24456 and 24460.

LCM(24456,24460) = 2³ × 3¹ × 1019¹ × 5¹ × 1223¹
LCM(24456,24460) = 149548440