What is the Least Common Multiple of 98475 and 98495?

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 98495 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 98495, than apply into the LCM equation.

GCF(98475,98495) = 5
LCM(98475,98495) = ( 98475 × 98495) / 5
LCM(98475,98495) = 9699295125 / 5
LCM(98475,98495) = 1939859025

Least Common Multiple (LCM) of 98475 and 98495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98475 and 98495. First we will calculate the prime factors of 98475 and 98495.

Prime Factorization of 98475

Prime Factorization of 98495

Now multiplying the highest exponent prime factors to calculate the LCM of 98475 and 98495.

LCM(98475,98495) = 3¹ × 5² × 13¹ × 101¹ × 19699¹
LCM(98475,98495) = 1939859025