What is the Least Common Multiple of 71085 and 71099?

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 71085 and 71099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71085 and 71099, than apply into the LCM equation.

GCF(71085,71099) = 7
LCM(71085,71099) = ( 71085 × 71099) / 7
LCM(71085,71099) = 5054072415 / 7
LCM(71085,71099) = 722010345

Least Common Multiple (LCM) of 71085 and 71099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71085 and 71099. First we will calculate the prime factors of 71085 and 71099.

Prime Factorization of 71085

Prime Factorization of 71099

Now multiplying the highest exponent prime factors to calculate the LCM of 71085 and 71099.

LCM(71085,71099) = 3¹ × 5¹ × 7² × 677¹ × 1451¹
LCM(71085,71099) = 722010345