What is the Least Common Multiple of 95844 and 95858?

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 95844 and 95858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95844 and 95858, than apply into the LCM equation.

GCF(95844,95858) = 14
LCM(95844,95858) = ( 95844 × 95858) / 14
LCM(95844,95858) = 9187414152 / 14
LCM(95844,95858) = 656243868

Least Common Multiple (LCM) of 95844 and 95858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95844 and 95858. First we will calculate the prime factors of 95844 and 95858.

Prime Factorization of 95844

Prime Factorization of 95858

Now multiplying the highest exponent prime factors to calculate the LCM of 95844 and 95858.

LCM(95844,95858) = 2² × 3¹ × 7² × 163¹ × 41¹ × 167¹
LCM(95844,95858) = 656243868