What is the Least Common Multiple of 95598 and 95614?

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 95614 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 95614, than apply into the LCM equation.

GCF(95598,95614) = 2
LCM(95598,95614) = ( 95598 × 95614) / 2
LCM(95598,95614) = 9140507172 / 2
LCM(95598,95614) = 4570253586

Least Common Multiple (LCM) of 95598 and 95614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95598 and 95614. First we will calculate the prime factors of 95598 and 95614.

Prime Factorization of 95598

Prime Factorization of 95614

Now multiplying the highest exponent prime factors to calculate the LCM of 95598 and 95614.

LCM(95598,95614) = 2¹ × 3² × 47¹ × 113¹ × 47807¹
LCM(95598,95614) = 4570253586