What is the Least Common Multiple of 95325 and 95340?

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 95325 and 95340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95325 and 95340, than apply into the LCM equation.

GCF(95325,95340) = 15
LCM(95325,95340) = ( 95325 × 95340) / 15
LCM(95325,95340) = 9088285500 / 15
LCM(95325,95340) = 605885700

Least Common Multiple (LCM) of 95325 and 95340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95325 and 95340. First we will calculate the prime factors of 95325 and 95340.

Prime Factorization of 95325

Prime Factorization of 95340

Now multiplying the highest exponent prime factors to calculate the LCM of 95325 and 95340.

LCM(95325,95340) = 3¹ × 5² × 31¹ × 41¹ × 2² × 7¹ × 227¹
LCM(95325,95340) = 605885700