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What is the Least Common Multiple of 3494 and 3513?

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 3494 and 3513 is 12274422.

LCM(3494,3513) = 12274422

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Least Common Multiple of 3494 and 3513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3494 and 3513, than apply into the LCM equation.

GCF(3494,3513) = 1
LCM(3494,3513) = ( 3494 × 3513) / 1
LCM(3494,3513) = 12274422 / 1
LCM(3494,3513) = 12274422

Least Common Multiple (LCM) of 3494 and 3513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3494 and 3513. First we will calculate the prime factors of 3494 and 3513.

Prime Factorization of 3494

Prime factors of 3494 are 2, 1747. Prime factorization of 3494 in exponential form is:

3494 = 21 × 17471

Prime Factorization of 3513

Prime factors of 3513 are 3, 1171. Prime factorization of 3513 in exponential form is:

3513 = 31 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 3494 and 3513.

LCM(3494,3513) = 21 × 17471 × 31 × 11711
LCM(3494,3513) = 12274422