What is the Least Common Multiple of 95985 and 96001?

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 95985 and 96001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95985 and 96001, than apply into the LCM equation.

GCF(95985,96001) = 1
LCM(95985,96001) = ( 95985 × 96001) / 1
LCM(95985,96001) = 9214655985 / 1
LCM(95985,96001) = 9214655985

Least Common Multiple (LCM) of 95985 and 96001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95985 and 96001. First we will calculate the prime factors of 95985 and 96001.

Prime Factorization of 95985

Prime Factorization of 96001

Now multiplying the highest exponent prime factors to calculate the LCM of 95985 and 96001.

LCM(95985,96001) = 3⁵ × 5¹ × 79¹ × 96001¹
LCM(95985,96001) = 9214655985