What is the Least Common Multiple of 33702 and 33717?

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 33702 and 33717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33702 and 33717, than apply into the LCM equation.

GCF(33702,33717) = 3
LCM(33702,33717) = ( 33702 × 33717) / 3
LCM(33702,33717) = 1136330334 / 3
LCM(33702,33717) = 378776778

Least Common Multiple (LCM) of 33702 and 33717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33702 and 33717. First we will calculate the prime factors of 33702 and 33717.

Prime Factorization of 33702

Prime Factorization of 33717

Now multiplying the highest exponent prime factors to calculate the LCM of 33702 and 33717.

LCM(33702,33717) = 2¹ × 3¹ × 41¹ × 137¹ × 11239¹
LCM(33702,33717) = 378776778