What is the Least Common Multiple of 95900 and 95917?

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 95900 and 95917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95900 and 95917, than apply into the LCM equation.

GCF(95900,95917) = 1
LCM(95900,95917) = ( 95900 × 95917) / 1
LCM(95900,95917) = 9198440300 / 1
LCM(95900,95917) = 9198440300

Least Common Multiple (LCM) of 95900 and 95917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95900 and 95917. First we will calculate the prime factors of 95900 and 95917.

Prime Factorization of 95900

Prime Factorization of 95917

Now multiplying the highest exponent prime factors to calculate the LCM of 95900 and 95917.

LCM(95900,95917) = 2² × 5² × 7¹ × 137¹ × 95917¹
LCM(95900,95917) = 9198440300