What is the Least Common Multiple of 95886 and 95893?

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 95886 and 95893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95886 and 95893, than apply into the LCM equation.

GCF(95886,95893) = 7
LCM(95886,95893) = ( 95886 × 95893) / 7
LCM(95886,95893) = 9194796198 / 7
LCM(95886,95893) = 1313542314

Least Common Multiple (LCM) of 95886 and 95893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95886 and 95893. First we will calculate the prime factors of 95886 and 95893.

Prime Factorization of 95886

Prime Factorization of 95893

Now multiplying the highest exponent prime factors to calculate the LCM of 95886 and 95893.

LCM(95886,95893) = 2¹ × 3² × 7² × 761¹ × 19¹ × 103¹
LCM(95886,95893) = 1313542314