What is the Least Common Multiple of 98475 and 98491?

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 98475 and 98491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98475 and 98491, than apply into the LCM equation.

GCF(98475,98491) = 1
LCM(98475,98491) = ( 98475 × 98491) / 1
LCM(98475,98491) = 9698901225 / 1
LCM(98475,98491) = 9698901225

Least Common Multiple (LCM) of 98475 and 98491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98475 and 98491. First we will calculate the prime factors of 98475 and 98491.

Prime Factorization of 98475

Prime Factorization of 98491

Now multiplying the highest exponent prime factors to calculate the LCM of 98475 and 98491.

LCM(98475,98491) = 3¹ × 5² × 13¹ × 101¹ × 98491¹
LCM(98475,98491) = 9698901225