What is the Least Common Multiple of 48539 and 48559?

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 48539 and 48559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48539 and 48559, than apply into the LCM equation.

GCF(48539,48559) = 1
LCM(48539,48559) = ( 48539 × 48559) / 1
LCM(48539,48559) = 2357005301 / 1
LCM(48539,48559) = 2357005301

Least Common Multiple (LCM) of 48539 and 48559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48539 and 48559. First we will calculate the prime factors of 48539 and 48559.

Prime Factorization of 48539

Prime Factorization of 48559

Now multiplying the highest exponent prime factors to calculate the LCM of 48539 and 48559.

LCM(48539,48559) = 48539¹ × 7² × 991¹
LCM(48539,48559) = 2357005301