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What is the Least Common Multiple of 3370 and 3374?

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 3370 and 3374 is 5685190.

LCM(3370,3374) = 5685190

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Least Common Multiple of 3370 and 3374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3370 and 3374, than apply into the LCM equation.

GCF(3370,3374) = 2
LCM(3370,3374) = ( 3370 × 3374) / 2
LCM(3370,3374) = 11370380 / 2
LCM(3370,3374) = 5685190

Least Common Multiple (LCM) of 3370 and 3374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3370 and 3374. First we will calculate the prime factors of 3370 and 3374.

Prime Factorization of 3370

Prime factors of 3370 are 2, 5, 337. Prime factorization of 3370 in exponential form is:

3370 = 21 × 51 × 3371

Prime Factorization of 3374

Prime factors of 3374 are 2, 7, 241. Prime factorization of 3374 in exponential form is:

3374 = 21 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 3370 and 3374.

LCM(3370,3374) = 21 × 51 × 3371 × 71 × 2411
LCM(3370,3374) = 5685190