What is the Least Common Multiple of 7085 and 7099?

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 7085 and 7099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7085 and 7099, than apply into the LCM equation.

GCF(7085,7099) = 1
LCM(7085,7099) = ( 7085 × 7099) / 1
LCM(7085,7099) = 50296415 / 1
LCM(7085,7099) = 50296415

Least Common Multiple (LCM) of 7085 and 7099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7085 and 7099. First we will calculate the prime factors of 7085 and 7099.

Prime Factorization of 7085

Prime Factorization of 7099

Now multiplying the highest exponent prime factors to calculate the LCM of 7085 and 7099.

LCM(7085,7099) = 5¹ × 13¹ × 109¹ × 31¹ × 229¹
LCM(7085,7099) = 50296415