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What is the Least Common Multiple of 3381 and 3395?

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 3381 and 3395 is 1639785.

LCM(3381,3395) = 1639785

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Least Common Multiple of 3381 and 3395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3381 and 3395, than apply into the LCM equation.

GCF(3381,3395) = 7
LCM(3381,3395) = ( 3381 × 3395) / 7
LCM(3381,3395) = 11478495 / 7
LCM(3381,3395) = 1639785

Least Common Multiple (LCM) of 3381 and 3395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3381 and 3395. First we will calculate the prime factors of 3381 and 3395.

Prime Factorization of 3381

Prime factors of 3381 are 3, 7, 23. Prime factorization of 3381 in exponential form is:

3381 = 31 × 72 × 231

Prime Factorization of 3395

Prime factors of 3395 are 5, 7, 97. Prime factorization of 3395 in exponential form is:

3395 = 51 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 3381 and 3395.

LCM(3381,3395) = 31 × 72 × 231 × 51 × 971
LCM(3381,3395) = 1639785