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What is the Least Common Multiple of 3379 and 3385?

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 3379 and 3385 is 11437915.

LCM(3379,3385) = 11437915

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Least Common Multiple of 3379 and 3385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3379 and 3385, than apply into the LCM equation.

GCF(3379,3385) = 1
LCM(3379,3385) = ( 3379 × 3385) / 1
LCM(3379,3385) = 11437915 / 1
LCM(3379,3385) = 11437915

Least Common Multiple (LCM) of 3379 and 3385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3379 and 3385. First we will calculate the prime factors of 3379 and 3385.

Prime Factorization of 3379

Prime factors of 3379 are 31, 109. Prime factorization of 3379 in exponential form is:

3379 = 311 × 1091

Prime Factorization of 3385

Prime factors of 3385 are 5, 677. Prime factorization of 3385 in exponential form is:

3385 = 51 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 3379 and 3385.

LCM(3379,3385) = 311 × 1091 × 51 × 6771
LCM(3379,3385) = 11437915