What is the Least Common Multiple of 95295 and 95309?

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 95295 and 95309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95295 and 95309, than apply into the LCM equation.

GCF(95295,95309) = 1
LCM(95295,95309) = ( 95295 × 95309) / 1
LCM(95295,95309) = 9082471155 / 1
LCM(95295,95309) = 9082471155

Least Common Multiple (LCM) of 95295 and 95309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95295 and 95309. First we will calculate the prime factors of 95295 and 95309.

Prime Factorization of 95295

Prime Factorization of 95309

Now multiplying the highest exponent prime factors to calculate the LCM of 95295 and 95309.

LCM(95295,95309) = 3¹ × 5¹ × 6353¹ × 191¹ × 499¹
LCM(95295,95309) = 9082471155