What is the Least Common Multiple of 3336 and 3342?

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 3336 and 3342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3336 and 3342, than apply into the LCM equation.

GCF(3336,3342) = 6
LCM(3336,3342) = ( 3336 × 3342) / 6
LCM(3336,3342) = 11148912 / 6
LCM(3336,3342) = 1858152

Least Common Multiple (LCM) of 3336 and 3342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3336 and 3342. First we will calculate the prime factors of 3336 and 3342.

Prime Factorization of 3336

Prime Factorization of 3342

Now multiplying the highest exponent prime factors to calculate the LCM of 3336 and 3342.

LCM(3336,3342) = 2³ × 3¹ × 139¹ × 557¹
LCM(3336,3342) = 1858152