What is the Least Common Multiple of 95858 and 95871?

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 95858 and 95871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95858 and 95871, than apply into the LCM equation.

GCF(95858,95871) = 1
LCM(95858,95871) = ( 95858 × 95871) / 1
LCM(95858,95871) = 9190002318 / 1
LCM(95858,95871) = 9190002318

Least Common Multiple (LCM) of 95858 and 95871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95858 and 95871. First we will calculate the prime factors of 95858 and 95871.

Prime Factorization of 95858

Prime Factorization of 95871

Now multiplying the highest exponent prime factors to calculate the LCM of 95858 and 95871.

LCM(95858,95871) = 2¹ × 7¹ × 41¹ × 167¹ × 3¹ × 31957¹
LCM(95858,95871) = 9190002318