What is the Least Common Multiple of 95425 and 95441?

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 95425 and 95441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95425 and 95441, than apply into the LCM equation.

GCF(95425,95441) = 1
LCM(95425,95441) = ( 95425 × 95441) / 1
LCM(95425,95441) = 9107457425 / 1
LCM(95425,95441) = 9107457425

Least Common Multiple (LCM) of 95425 and 95441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95425 and 95441. First we will calculate the prime factors of 95425 and 95441.

Prime Factorization of 95425

Prime Factorization of 95441

Now multiplying the highest exponent prime factors to calculate the LCM of 95425 and 95441.

LCM(95425,95441) = 5² × 11¹ × 347¹ × 95441¹
LCM(95425,95441) = 9107457425