What is the Least Common Multiple of 98959 and 98975?

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 98959 and 98975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98959 and 98975, than apply into the LCM equation.

GCF(98959,98975) = 1
LCM(98959,98975) = ( 98959 × 98975) / 1
LCM(98959,98975) = 9794467025 / 1
LCM(98959,98975) = 9794467025

Least Common Multiple (LCM) of 98959 and 98975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98959 and 98975. First we will calculate the prime factors of 98959 and 98975.

Prime Factorization of 98959

Prime Factorization of 98975

Now multiplying the highest exponent prime factors to calculate the LCM of 98959 and 98975.

LCM(98959,98975) = 7¹ × 67¹ × 211¹ × 5² × 37¹ × 107¹
LCM(98959,98975) = 9794467025