What is the Least Common Multiple of 98591 and 98610?

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 98591 and 98610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98591 and 98610, than apply into the LCM equation.

GCF(98591,98610) = 19
LCM(98591,98610) = ( 98591 × 98610) / 19
LCM(98591,98610) = 9722058510 / 19
LCM(98591,98610) = 511687290

Least Common Multiple (LCM) of 98591 and 98610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98591 and 98610. First we will calculate the prime factors of 98591 and 98610.

Prime Factorization of 98591

Prime Factorization of 98610

Now multiplying the highest exponent prime factors to calculate the LCM of 98591 and 98610.

LCM(98591,98610) = 19¹ × 5189¹ × 2¹ × 3¹ × 5¹ × 173¹
LCM(98591,98610) = 511687290