What is the Least Common Multiple of 98604 and 98617?

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 98604 and 98617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98604 and 98617, than apply into the LCM equation.

GCF(98604,98617) = 1
LCM(98604,98617) = ( 98604 × 98617) / 1
LCM(98604,98617) = 9724030668 / 1
LCM(98604,98617) = 9724030668

Least Common Multiple (LCM) of 98604 and 98617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98604 and 98617. First we will calculate the prime factors of 98604 and 98617.

Prime Factorization of 98604

Prime Factorization of 98617

Now multiplying the highest exponent prime factors to calculate the LCM of 98604 and 98617.

LCM(98604,98617) = 2² × 3³ × 11¹ × 83¹ × 17¹ × 5801¹
LCM(98604,98617) = 9724030668