What is the Least Common Multiple of 98625 and 98635?

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 98625 and 98635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98625 and 98635, than apply into the LCM equation.

GCF(98625,98635) = 5
LCM(98625,98635) = ( 98625 × 98635) / 5
LCM(98625,98635) = 9727876875 / 5
LCM(98625,98635) = 1945575375

Least Common Multiple (LCM) of 98625 and 98635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98625 and 98635. First we will calculate the prime factors of 98625 and 98635.

Prime Factorization of 98625

Prime Factorization of 98635

Now multiplying the highest exponent prime factors to calculate the LCM of 98625 and 98635.

LCM(98625,98635) = 3¹ × 5³ × 263¹ × 19727¹
LCM(98625,98635) = 1945575375