What is the Least Common Multiple of 98625 and 98641?

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 98641 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 98641, than apply into the LCM equation.

GCF(98625,98641) = 1
LCM(98625,98641) = ( 98625 × 98641) / 1
LCM(98625,98641) = 9728468625 / 1
LCM(98625,98641) = 9728468625

Least Common Multiple (LCM) of 98625 and 98641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98625 and 98641. First we will calculate the prime factors of 98625 and 98641.

Prime Factorization of 98625

Prime Factorization of 98641

Now multiplying the highest exponent prime factors to calculate the LCM of 98625 and 98641.

LCM(98625,98641) = 3¹ × 5³ × 263¹ × 98641¹
LCM(98625,98641) = 9728468625