What is the Least Common Multiple of 98559 and 98568?

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 98559 and 98568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98559 and 98568, than apply into the LCM equation.

GCF(98559,98568) = 9
LCM(98559,98568) = ( 98559 × 98568) / 9
LCM(98559,98568) = 9714763512 / 9
LCM(98559,98568) = 1079418168

Least Common Multiple (LCM) of 98559 and 98568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98559 and 98568. First we will calculate the prime factors of 98559 and 98568.

Prime Factorization of 98559

Prime Factorization of 98568

Now multiplying the highest exponent prime factors to calculate the LCM of 98559 and 98568.

LCM(98559,98568) = 3² × 47¹ × 233¹ × 2³ × 37²
LCM(98559,98568) = 1079418168