What is the Least Common Multiple of 24960 and 24972?

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 24960 and 24972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24960 and 24972, than apply into the LCM equation.

GCF(24960,24972) = 12
LCM(24960,24972) = ( 24960 × 24972) / 12
LCM(24960,24972) = 623301120 / 12
LCM(24960,24972) = 51941760

Least Common Multiple (LCM) of 24960 and 24972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24960 and 24972. First we will calculate the prime factors of 24960 and 24972.

Prime Factorization of 24960

Prime Factorization of 24972

Now multiplying the highest exponent prime factors to calculate the LCM of 24960 and 24972.

LCM(24960,24972) = 2⁷ × 3¹ × 5¹ × 13¹ × 2081¹
LCM(24960,24972) = 51941760