What is the Least Common Multiple of 98407 and 98425?

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 98407 and 98425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98407 and 98425, than apply into the LCM equation.

GCF(98407,98425) = 1
LCM(98407,98425) = ( 98407 × 98425) / 1
LCM(98407,98425) = 9685708975 / 1
LCM(98407,98425) = 9685708975

Least Common Multiple (LCM) of 98407 and 98425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98407 and 98425. First we will calculate the prime factors of 98407 and 98425.

Prime Factorization of 98407

Prime Factorization of 98425

Now multiplying the highest exponent prime factors to calculate the LCM of 98407 and 98425.

LCM(98407,98425) = 98407¹ × 5² × 31¹ × 127¹
LCM(98407,98425) = 9685708975