What is the Least Common Multiple of 95928 and 95935?

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 95928 and 95935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95928 and 95935, than apply into the LCM equation.

GCF(95928,95935) = 7
LCM(95928,95935) = ( 95928 × 95935) / 7
LCM(95928,95935) = 9202852680 / 7
LCM(95928,95935) = 1314693240

Least Common Multiple (LCM) of 95928 and 95935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95928 and 95935. First we will calculate the prime factors of 95928 and 95935.

Prime Factorization of 95928

Prime Factorization of 95935

Now multiplying the highest exponent prime factors to calculate the LCM of 95928 and 95935.

LCM(95928,95935) = 2³ × 3¹ × 7¹ × 571¹ × 5¹ × 2741¹
LCM(95928,95935) = 1314693240