What is the Least Common Multiple of 95586 and 95598?

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 95586 and 95598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95586 and 95598, than apply into the LCM equation.

GCF(95586,95598) = 6
LCM(95586,95598) = ( 95586 × 95598) / 6
LCM(95586,95598) = 9137830428 / 6
LCM(95586,95598) = 1522971738

Least Common Multiple (LCM) of 95586 and 95598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95586 and 95598. First we will calculate the prime factors of 95586 and 95598.

Prime Factorization of 95586

Prime Factorization of 95598

Now multiplying the highest exponent prime factors to calculate the LCM of 95586 and 95598.

LCM(95586,95598) = 2¹ × 3² × 89¹ × 179¹ × 47¹ × 113¹
LCM(95586,95598) = 1522971738