What is the Least Common Multiple of 48075 and 48091?

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 48075 and 48091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48075 and 48091, than apply into the LCM equation.

GCF(48075,48091) = 1
LCM(48075,48091) = ( 48075 × 48091) / 1
LCM(48075,48091) = 2311974825 / 1
LCM(48075,48091) = 2311974825

Least Common Multiple (LCM) of 48075 and 48091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48075 and 48091. First we will calculate the prime factors of 48075 and 48091.

Prime Factorization of 48075

Prime Factorization of 48091

Now multiplying the highest exponent prime factors to calculate the LCM of 48075 and 48091.

LCM(48075,48091) = 3¹ × 5² × 641¹ × 48091¹
LCM(48075,48091) = 2311974825