What is the Least Common Multiple of 95805 and 95817?

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 95805 and 95817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95805 and 95817, than apply into the LCM equation.

GCF(95805,95817) = 3
LCM(95805,95817) = ( 95805 × 95817) / 3
LCM(95805,95817) = 9179747685 / 3
LCM(95805,95817) = 3059915895

Least Common Multiple (LCM) of 95805 and 95817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95805 and 95817. First we will calculate the prime factors of 95805 and 95817.

Prime Factorization of 95805

Prime Factorization of 95817

Now multiplying the highest exponent prime factors to calculate the LCM of 95805 and 95817.

LCM(95805,95817) = 3² × 5¹ × 2129¹ × 19¹ × 41²
LCM(95805,95817) = 3059915895