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What is the Least Common Multiple of 3330 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 (LCM) of 3330 and 3342 is 1854810.

LCM(3330,3342) = 1854810

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Least Common Multiple of 3330 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 3330 and 3342, than apply into the LCM equation.

GCF(3330,3342) = 6
LCM(3330,3342) = ( 3330 × 3342) / 6
LCM(3330,3342) = 11128860 / 6
LCM(3330,3342) = 1854810

Least Common Multiple (LCM) of 3330 and 3342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3330 and 3342. First we will calculate the prime factors of 3330 and 3342.

Prime Factorization of 3330

Prime factors of 3330 are 2, 3, 5, 37. Prime factorization of 3330 in exponential form is:

3330 = 21 × 32 × 51 × 371

Prime Factorization of 3342

Prime factors of 3342 are 2, 3, 557. Prime factorization of 3342 in exponential form is:

3342 = 21 × 31 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 3330 and 3342.

LCM(3330,3342) = 21 × 32 × 51 × 371 × 5571
LCM(3330,3342) = 1854810