What is the Least Common Multiple of 98577 and 98586?

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 98577 and 98586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98577 and 98586, than apply into the LCM equation.

GCF(98577,98586) = 9
LCM(98577,98586) = ( 98577 × 98586) / 9
LCM(98577,98586) = 9718312122 / 9
LCM(98577,98586) = 1079812458

Least Common Multiple (LCM) of 98577 and 98586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98577 and 98586. First we will calculate the prime factors of 98577 and 98586.

Prime Factorization of 98577

Prime Factorization of 98586

Now multiplying the highest exponent prime factors to calculate the LCM of 98577 and 98586.

LCM(98577,98586) = 3⁴ × 1217¹ × 2¹ × 5477¹
LCM(98577,98586) = 1079812458