What is the Least Common Multiple of 95300 and 95316?

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 95300 and 95316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95300 and 95316, than apply into the LCM equation.

GCF(95300,95316) = 4
LCM(95300,95316) = ( 95300 × 95316) / 4
LCM(95300,95316) = 9083614800 / 4
LCM(95300,95316) = 2270903700

Least Common Multiple (LCM) of 95300 and 95316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95300 and 95316. First we will calculate the prime factors of 95300 and 95316.

Prime Factorization of 95300

Prime Factorization of 95316

Now multiplying the highest exponent prime factors to calculate the LCM of 95300 and 95316.

LCM(95300,95316) = 2² × 5² × 953¹ × 3¹ × 13² × 47¹
LCM(95300,95316) = 2270903700