What is the Least Common Multiple of 35086 and 35099?

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 35086 and 35099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35086 and 35099, than apply into the LCM equation.

GCF(35086,35099) = 1
LCM(35086,35099) = ( 35086 × 35099) / 1
LCM(35086,35099) = 1231483514 / 1
LCM(35086,35099) = 1231483514

Least Common Multiple (LCM) of 35086 and 35099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35086 and 35099. First we will calculate the prime factors of 35086 and 35099.

Prime Factorization of 35086

Prime Factorization of 35099

Now multiplying the highest exponent prime factors to calculate the LCM of 35086 and 35099.

LCM(35086,35099) = 2¹ × 53¹ × 331¹ × 35099¹
LCM(35086,35099) = 1231483514