What is the Least Common Multiple of 48255 and 48271?

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 48271 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 48271, than apply into the LCM equation.

GCF(48255,48271) = 1
LCM(48255,48271) = ( 48255 × 48271) / 1
LCM(48255,48271) = 2329317105 / 1
LCM(48255,48271) = 2329317105

Least Common Multiple (LCM) of 48255 and 48271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48255 and 48271. First we will calculate the prime factors of 48255 and 48271.

Prime Factorization of 48255

Prime Factorization of 48271

Now multiplying the highest exponent prime factors to calculate the LCM of 48255 and 48271.

LCM(48255,48271) = 3¹ × 5¹ × 3217¹ × 48271¹
LCM(48255,48271) = 2329317105