What is the Least Common Multiple of 98493 and 98501?

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 98493 and 98501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98493 and 98501, than apply into the LCM equation.

GCF(98493,98501) = 1
LCM(98493,98501) = ( 98493 × 98501) / 1
LCM(98493,98501) = 9701658993 / 1
LCM(98493,98501) = 9701658993

Least Common Multiple (LCM) of 98493 and 98501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98493 and 98501. First we will calculate the prime factors of 98493 and 98501.

Prime Factorization of 98493

Prime Factorization of 98501

Now multiplying the highest exponent prime factors to calculate the LCM of 98493 and 98501.

LCM(98493,98501) = 3¹ × 32831¹ × 13¹ × 7577¹
LCM(98493,98501) = 9701658993