What is the Least Common Multiple of 48255 and 48275?

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 48255 and 48275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48255 and 48275, than apply into the LCM equation.

GCF(48255,48275) = 5
LCM(48255,48275) = ( 48255 × 48275) / 5
LCM(48255,48275) = 2329510125 / 5
LCM(48255,48275) = 465902025

Least Common Multiple (LCM) of 48255 and 48275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48255 and 48275. First we will calculate the prime factors of 48255 and 48275.

Prime Factorization of 48255

Prime Factorization of 48275

Now multiplying the highest exponent prime factors to calculate the LCM of 48255 and 48275.

LCM(48255,48275) = 3¹ × 5² × 3217¹ × 1931¹
LCM(48255,48275) = 465902025