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What is the Least Common Multiple of 3481 and 3498?

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 3481 and 3498 is 12176538.

LCM(3481,3498) = 12176538

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Least Common Multiple of 3481 and 3498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3481 and 3498, than apply into the LCM equation.

GCF(3481,3498) = 1
LCM(3481,3498) = ( 3481 × 3498) / 1
LCM(3481,3498) = 12176538 / 1
LCM(3481,3498) = 12176538

Least Common Multiple (LCM) of 3481 and 3498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3481 and 3498. First we will calculate the prime factors of 3481 and 3498.

Prime Factorization of 3481

Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:

3481 = 592

Prime Factorization of 3498

Prime factors of 3498 are 2, 3, 11, 53. Prime factorization of 3498 in exponential form is:

3498 = 21 × 31 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3481 and 3498.

LCM(3481,3498) = 592 × 21 × 31 × 111 × 531
LCM(3481,3498) = 12176538