What is the Least Common Multiple of 48573 and 48591?

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 48573 and 48591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48573 and 48591, than apply into the LCM equation.

GCF(48573,48591) = 9
LCM(48573,48591) = ( 48573 × 48591) / 9
LCM(48573,48591) = 2360210643 / 9
LCM(48573,48591) = 262245627

Least Common Multiple (LCM) of 48573 and 48591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48573 and 48591. First we will calculate the prime factors of 48573 and 48591.

Prime Factorization of 48573

Prime Factorization of 48591

Now multiplying the highest exponent prime factors to calculate the LCM of 48573 and 48591.

LCM(48573,48591) = 3³ × 7¹ × 257¹ × 5399¹
LCM(48573,48591) = 262245627