What is the Least Common Multiple of 91995 and 92001?

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 91995 and 92001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91995 and 92001, than apply into the LCM equation.

GCF(91995,92001) = 3
LCM(91995,92001) = ( 91995 × 92001) / 3
LCM(91995,92001) = 8463631995 / 3
LCM(91995,92001) = 2821210665

Least Common Multiple (LCM) of 91995 and 92001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91995 and 92001. First we will calculate the prime factors of 91995 and 92001.

Prime Factorization of 91995

Prime Factorization of 92001

Now multiplying the highest exponent prime factors to calculate the LCM of 91995 and 92001.

LCM(91995,92001) = 3¹ × 5¹ × 6133¹ × 7¹ × 13¹ × 337¹
LCM(91995,92001) = 2821210665