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What is the Least Common Multiple of 3367 and 3373?

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 3367 and 3373 is 11356891.

LCM(3367,3373) = 11356891

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Least Common Multiple of 3367 and 3373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3367 and 3373, than apply into the LCM equation.

GCF(3367,3373) = 1
LCM(3367,3373) = ( 3367 × 3373) / 1
LCM(3367,3373) = 11356891 / 1
LCM(3367,3373) = 11356891

Least Common Multiple (LCM) of 3367 and 3373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3367 and 3373. First we will calculate the prime factors of 3367 and 3373.

Prime Factorization of 3367

Prime factors of 3367 are 7, 13, 37. Prime factorization of 3367 in exponential form is:

3367 = 71 × 131 × 371

Prime Factorization of 3373

Prime factors of 3373 are 3373. Prime factorization of 3373 in exponential form is:

3373 = 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 3367 and 3373.

LCM(3367,3373) = 71 × 131 × 371 × 33731
LCM(3367,3373) = 11356891