What is the Least Common Multiple of 98561 and 98577?

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 98561 and 98577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98561 and 98577, than apply into the LCM equation.

GCF(98561,98577) = 1
LCM(98561,98577) = ( 98561 × 98577) / 1
LCM(98561,98577) = 9715847697 / 1
LCM(98561,98577) = 9715847697

Least Common Multiple (LCM) of 98561 and 98577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98561 and 98577. First we will calculate the prime factors of 98561 and 98577.

Prime Factorization of 98561

Prime Factorization of 98577

Now multiplying the highest exponent prime factors to calculate the LCM of 98561 and 98577.

LCM(98561,98577) = 98561¹ × 3⁴ × 1217¹
LCM(98561,98577) = 9715847697