What is the Least Common Multiple of 33696 and 33702?

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 33696 and 33702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33696 and 33702, than apply into the LCM equation.

GCF(33696,33702) = 6
LCM(33696,33702) = ( 33696 × 33702) / 6
LCM(33696,33702) = 1135622592 / 6
LCM(33696,33702) = 189270432

Least Common Multiple (LCM) of 33696 and 33702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33696 and 33702. First we will calculate the prime factors of 33696 and 33702.

Prime Factorization of 33696

Prime Factorization of 33702

Now multiplying the highest exponent prime factors to calculate the LCM of 33696 and 33702.

LCM(33696,33702) = 2⁵ × 3⁴ × 13¹ × 41¹ × 137¹
LCM(33696,33702) = 189270432