What is the Least Common Multiple of 95598 and 95613?

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 95598 and 95613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95598 and 95613, than apply into the LCM equation.

GCF(95598,95613) = 3
LCM(95598,95613) = ( 95598 × 95613) / 3
LCM(95598,95613) = 9140411574 / 3
LCM(95598,95613) = 3046803858

Least Common Multiple (LCM) of 95598 and 95613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95598 and 95613. First we will calculate the prime factors of 95598 and 95613.

Prime Factorization of 95598

Prime Factorization of 95613

Now multiplying the highest exponent prime factors to calculate the LCM of 95598 and 95613.

LCM(95598,95613) = 2¹ × 3² × 47¹ × 113¹ × 7¹ × 29¹ × 157¹
LCM(95598,95613) = 3046803858