What is the Least Common Multiple of 95646 and 95665?

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 95646 and 95665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95646 and 95665, than apply into the LCM equation.

GCF(95646,95665) = 19
LCM(95646,95665) = ( 95646 × 95665) / 19
LCM(95646,95665) = 9149974590 / 19
LCM(95646,95665) = 481577610

Least Common Multiple (LCM) of 95646 and 95665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95646 and 95665. First we will calculate the prime factors of 95646 and 95665.

Prime Factorization of 95646

Prime Factorization of 95665

Now multiplying the highest exponent prime factors to calculate the LCM of 95646 and 95665.

LCM(95646,95665) = 2¹ × 3¹ × 19² × 839¹ × 5¹ × 53¹
LCM(95646,95665) = 481577610