What is the Least Common Multiple of 48357 and 48375?

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 48357 and 48375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48357 and 48375, than apply into the LCM equation.

GCF(48357,48375) = 9
LCM(48357,48375) = ( 48357 × 48375) / 9
LCM(48357,48375) = 2339269875 / 9
LCM(48357,48375) = 259918875

Least Common Multiple (LCM) of 48357 and 48375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48357 and 48375. First we will calculate the prime factors of 48357 and 48375.

Prime Factorization of 48357

Prime Factorization of 48375

Now multiplying the highest exponent prime factors to calculate the LCM of 48357 and 48375.

LCM(48357,48375) = 3⁵ × 199¹ × 5³ × 43¹
LCM(48357,48375) = 259918875