What is the Least Common Multiple of 35682 and 35698?

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 35682 and 35698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35682 and 35698, than apply into the LCM equation.

GCF(35682,35698) = 2
LCM(35682,35698) = ( 35682 × 35698) / 2
LCM(35682,35698) = 1273776036 / 2
LCM(35682,35698) = 636888018

Least Common Multiple (LCM) of 35682 and 35698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35682 and 35698. First we will calculate the prime factors of 35682 and 35698.

Prime Factorization of 35682

Prime Factorization of 35698

Now multiplying the highest exponent prime factors to calculate the LCM of 35682 and 35698.

LCM(35682,35698) = 2¹ × 3¹ × 19¹ × 313¹ × 13¹ × 1373¹
LCM(35682,35698) = 636888018