What is the Least Common Multiple of 48598 and 48611?

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 48598 and 48611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48598 and 48611, than apply into the LCM equation.

GCF(48598,48611) = 1
LCM(48598,48611) = ( 48598 × 48611) / 1
LCM(48598,48611) = 2362397378 / 1
LCM(48598,48611) = 2362397378

Least Common Multiple (LCM) of 48598 and 48611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48598 and 48611. First we will calculate the prime factors of 48598 and 48611.

Prime Factorization of 48598

Prime Factorization of 48611

Now multiplying the highest exponent prime factors to calculate the LCM of 48598 and 48611.

LCM(48598,48611) = 2¹ × 11¹ × 47² × 48611¹
LCM(48598,48611) = 2362397378