What is the Least Common Multiple of 24072 and 24084?

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 24072 and 24084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24072 and 24084, than apply into the LCM equation.

GCF(24072,24084) = 12
LCM(24072,24084) = ( 24072 × 24084) / 12
LCM(24072,24084) = 579750048 / 12
LCM(24072,24084) = 48312504

Least Common Multiple (LCM) of 24072 and 24084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24072 and 24084. First we will calculate the prime factors of 24072 and 24084.

Prime Factorization of 24072

Prime Factorization of 24084

Now multiplying the highest exponent prime factors to calculate the LCM of 24072 and 24084.

LCM(24072,24084) = 2³ × 3³ × 17¹ × 59¹ × 223¹
LCM(24072,24084) = 48312504