What is the Least Common Multiple of 98312 and 98329?

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 98312 and 98329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98312 and 98329, than apply into the LCM equation.

GCF(98312,98329) = 1
LCM(98312,98329) = ( 98312 × 98329) / 1
LCM(98312,98329) = 9666920648 / 1
LCM(98312,98329) = 9666920648

Least Common Multiple (LCM) of 98312 and 98329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98312 and 98329. First we will calculate the prime factors of 98312 and 98329.

Prime Factorization of 98312

Prime Factorization of 98329

Now multiplying the highest exponent prime factors to calculate the LCM of 98312 and 98329.

LCM(98312,98329) = 2³ × 12289¹ × 7¹ × 11¹ × 1277¹
LCM(98312,98329) = 9666920648