What is the Least Common Multiple of 33342 and 33360?

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 33342 and 33360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33342 and 33360, than apply into the LCM equation.

GCF(33342,33360) = 6
LCM(33342,33360) = ( 33342 × 33360) / 6
LCM(33342,33360) = 1112289120 / 6
LCM(33342,33360) = 185381520

Least Common Multiple (LCM) of 33342 and 33360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33342 and 33360. First we will calculate the prime factors of 33342 and 33360.

Prime Factorization of 33342

Prime Factorization of 33360

Now multiplying the highest exponent prime factors to calculate the LCM of 33342 and 33360.

LCM(33342,33360) = 2⁴ × 3¹ × 5557¹ × 5¹ × 139¹
LCM(33342,33360) = 185381520