What is the Least Common Multiple of 98379 and 98395?

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 98379 and 98395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98379 and 98395, than apply into the LCM equation.

GCF(98379,98395) = 1
LCM(98379,98395) = ( 98379 × 98395) / 1
LCM(98379,98395) = 9680001705 / 1
LCM(98379,98395) = 9680001705

Least Common Multiple (LCM) of 98379 and 98395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98379 and 98395. First we will calculate the prime factors of 98379 and 98395.

Prime Factorization of 98379

Prime Factorization of 98395

Now multiplying the highest exponent prime factors to calculate the LCM of 98379 and 98395.

LCM(98379,98395) = 3² × 17¹ × 643¹ × 5¹ × 11¹ × 1789¹
LCM(98379,98395) = 9680001705