What is the Least Common Multiple of 33642 and 33648?

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 33642 and 33648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33642 and 33648, than apply into the LCM equation.

GCF(33642,33648) = 6
LCM(33642,33648) = ( 33642 × 33648) / 6
LCM(33642,33648) = 1131986016 / 6
LCM(33642,33648) = 188664336

Least Common Multiple (LCM) of 33642 and 33648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33642 and 33648. First we will calculate the prime factors of 33642 and 33648.

Prime Factorization of 33642

Prime Factorization of 33648

Now multiplying the highest exponent prime factors to calculate the LCM of 33642 and 33648.

LCM(33642,33648) = 2⁴ × 3³ × 7¹ × 89¹ × 701¹
LCM(33642,33648) = 188664336