What is the Least Common Multiple of 95893 and 95898?

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 95893 and 95898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95893 and 95898, than apply into the LCM equation.

GCF(95893,95898) = 1
LCM(95893,95898) = ( 95893 × 95898) / 1
LCM(95893,95898) = 9195946914 / 1
LCM(95893,95898) = 9195946914

Least Common Multiple (LCM) of 95893 and 95898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95893 and 95898. First we will calculate the prime factors of 95893 and 95898.

Prime Factorization of 95893

Prime Factorization of 95898

Now multiplying the highest exponent prime factors to calculate the LCM of 95893 and 95898.

LCM(95893,95898) = 7² × 19¹ × 103¹ × 2¹ × 3¹ × 11¹ × 1453¹
LCM(95893,95898) = 9195946914