What is the Least Common Multiple of 48591 and 48610?

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 48610 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 48610, than apply into the LCM equation.

GCF(48591,48610) = 1
LCM(48591,48610) = ( 48591 × 48610) / 1
LCM(48591,48610) = 2362008510 / 1
LCM(48591,48610) = 2362008510

Least Common Multiple (LCM) of 48591 and 48610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48591 and 48610. First we will calculate the prime factors of 48591 and 48610.

Prime Factorization of 48591

Prime Factorization of 48610

Now multiplying the highest exponent prime factors to calculate the LCM of 48591 and 48610.

LCM(48591,48610) = 3² × 5399¹ × 2¹ × 5¹ × 4861¹
LCM(48591,48610) = 2362008510