What is the Least Common Multiple of 48591 and 48605?

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 48591 and 48605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48591 and 48605, than apply into the LCM equation.

GCF(48591,48605) = 1
LCM(48591,48605) = ( 48591 × 48605) / 1
LCM(48591,48605) = 2361765555 / 1
LCM(48591,48605) = 2361765555

Least Common Multiple (LCM) of 48591 and 48605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48591 and 48605. First we will calculate the prime factors of 48591 and 48605.

Prime Factorization of 48591

Prime Factorization of 48605

Now multiplying the highest exponent prime factors to calculate the LCM of 48591 and 48605.

LCM(48591,48605) = 3² × 5399¹ × 5¹ × 9721¹
LCM(48591,48605) = 2361765555