What is the Least Common Multiple of 98363 and 98379?

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 98363 and 98379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98363 and 98379, than apply into the LCM equation.

GCF(98363,98379) = 1
LCM(98363,98379) = ( 98363 × 98379) / 1
LCM(98363,98379) = 9676853577 / 1
LCM(98363,98379) = 9676853577

Least Common Multiple (LCM) of 98363 and 98379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98363 and 98379. First we will calculate the prime factors of 98363 and 98379.

Prime Factorization of 98363

Prime Factorization of 98379

Now multiplying the highest exponent prime factors to calculate the LCM of 98363 and 98379.

LCM(98363,98379) = 19¹ × 31¹ × 167¹ × 3² × 17¹ × 643¹
LCM(98363,98379) = 9676853577