What is the Least Common Multiple of 95099 and 95107?

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 95099 and 95107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95099 and 95107, than apply into the LCM equation.

GCF(95099,95107) = 1
LCM(95099,95107) = ( 95099 × 95107) / 1
LCM(95099,95107) = 9044580593 / 1
LCM(95099,95107) = 9044580593

Least Common Multiple (LCM) of 95099 and 95107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95099 and 95107. First we will calculate the prime factors of 95099 and 95107.

Prime Factorization of 95099

Prime Factorization of 95107

Now multiplying the highest exponent prime factors to calculate the LCM of 95099 and 95107.

LCM(95099,95107) = 61¹ × 1559¹ × 95107¹
LCM(95099,95107) = 9044580593