What is the Least Common Multiple of 33336 and 33342?

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 33336 and 33342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33336 and 33342, than apply into the LCM equation.

GCF(33336,33342) = 6
LCM(33336,33342) = ( 33336 × 33342) / 6
LCM(33336,33342) = 1111488912 / 6
LCM(33336,33342) = 185248152

Least Common Multiple (LCM) of 33336 and 33342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33336 and 33342. First we will calculate the prime factors of 33336 and 33342.

Prime Factorization of 33336

Prime Factorization of 33342

Now multiplying the highest exponent prime factors to calculate the LCM of 33336 and 33342.

LCM(33336,33342) = 2³ × 3² × 463¹ × 5557¹
LCM(33336,33342) = 185248152