What is the Least Common Multiple of 98619 and 98627?

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 98619 and 98627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98619 and 98627, than apply into the LCM equation.

GCF(98619,98627) = 1
LCM(98619,98627) = ( 98619 × 98627) / 1
LCM(98619,98627) = 9726496113 / 1
LCM(98619,98627) = 9726496113

Least Common Multiple (LCM) of 98619 and 98627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98619 and 98627. First we will calculate the prime factors of 98619 and 98627.

Prime Factorization of 98619

Prime Factorization of 98627

Now multiplying the highest exponent prime factors to calculate the LCM of 98619 and 98627.

LCM(98619,98627) = 3¹ × 71¹ × 463¹ × 98627¹
LCM(98619,98627) = 9726496113