What is the Least Common Multiple of 24048 and 24054?

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 24048 and 24054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24048 and 24054, than apply into the LCM equation.

GCF(24048,24054) = 6
LCM(24048,24054) = ( 24048 × 24054) / 6
LCM(24048,24054) = 578450592 / 6
LCM(24048,24054) = 96408432

Least Common Multiple (LCM) of 24048 and 24054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24048 and 24054. First we will calculate the prime factors of 24048 and 24054.

Prime Factorization of 24048

Prime Factorization of 24054

Now multiplying the highest exponent prime factors to calculate the LCM of 24048 and 24054.

LCM(24048,24054) = 2⁴ × 3² × 167¹ × 19¹ × 211¹
LCM(24048,24054) = 96408432