What is the Least Common Multiple of 33336 and 33346?

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 33346 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 33346, than apply into the LCM equation.

GCF(33336,33346) = 2
LCM(33336,33346) = ( 33336 × 33346) / 2
LCM(33336,33346) = 1111622256 / 2
LCM(33336,33346) = 555811128

Least Common Multiple (LCM) of 33336 and 33346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33336 and 33346. First we will calculate the prime factors of 33336 and 33346.

Prime Factorization of 33336

Prime Factorization of 33346

Now multiplying the highest exponent prime factors to calculate the LCM of 33336 and 33346.

LCM(33336,33346) = 2³ × 3² × 463¹ × 16673¹
LCM(33336,33346) = 555811128