What is the Least Common Multiple of 96625 and 96641?

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 96625 and 96641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96625 and 96641, than apply into the LCM equation.

GCF(96625,96641) = 1
LCM(96625,96641) = ( 96625 × 96641) / 1
LCM(96625,96641) = 9337936625 / 1
LCM(96625,96641) = 9337936625

Least Common Multiple (LCM) of 96625 and 96641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96625 and 96641. First we will calculate the prime factors of 96625 and 96641.

Prime Factorization of 96625

Prime Factorization of 96641

Now multiplying the highest exponent prime factors to calculate the LCM of 96625 and 96641.

LCM(96625,96641) = 5³ × 773¹ × 241¹ × 401¹
LCM(96625,96641) = 9337936625