What is the Least Common Multiple of 48339 and 48357?

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 48339 and 48357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48339 and 48357, than apply into the LCM equation.

GCF(48339,48357) = 9
LCM(48339,48357) = ( 48339 × 48357) / 9
LCM(48339,48357) = 2337529023 / 9
LCM(48339,48357) = 259725447

Least Common Multiple (LCM) of 48339 and 48357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48339 and 48357. First we will calculate the prime factors of 48339 and 48357.

Prime Factorization of 48339

Prime Factorization of 48357

Now multiplying the highest exponent prime factors to calculate the LCM of 48339 and 48357.

LCM(48339,48357) = 3⁵ × 41¹ × 131¹ × 199¹
LCM(48339,48357) = 259725447