What is the Least Common Multiple of 48024 and 48039?

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 48024 and 48039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48024 and 48039, than apply into the LCM equation.

GCF(48024,48039) = 3
LCM(48024,48039) = ( 48024 × 48039) / 3
LCM(48024,48039) = 2307024936 / 3
LCM(48024,48039) = 769008312

Least Common Multiple (LCM) of 48024 and 48039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48024 and 48039. First we will calculate the prime factors of 48024 and 48039.

Prime Factorization of 48024

Prime Factorization of 48039

Now multiplying the highest exponent prime factors to calculate the LCM of 48024 and 48039.

LCM(48024,48039) = 2³ × 3² × 23¹ × 29¹ × 67¹ × 239¹
LCM(48024,48039) = 769008312