What is the Least Common Multiple of 98607 and 98623?

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 98607 and 98623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98607 and 98623, than apply into the LCM equation.

GCF(98607,98623) = 1
LCM(98607,98623) = ( 98607 × 98623) / 1
LCM(98607,98623) = 9724918161 / 1
LCM(98607,98623) = 9724918161

Least Common Multiple (LCM) of 98607 and 98623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98607 and 98623. First we will calculate the prime factors of 98607 and 98623.

Prime Factorization of 98607

Prime Factorization of 98623

Now multiplying the highest exponent prime factors to calculate the LCM of 98607 and 98623.

LCM(98607,98623) = 3¹ × 32869¹ × 7¹ × 73¹ × 193¹
LCM(98607,98623) = 9724918161