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What is the Least Common Multiple of 3483 and 3490?

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 3483 and 3490 is 12155670.

LCM(3483,3490) = 12155670

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Least Common Multiple of 3483 and 3490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3483 and 3490, than apply into the LCM equation.

GCF(3483,3490) = 1
LCM(3483,3490) = ( 3483 × 3490) / 1
LCM(3483,3490) = 12155670 / 1
LCM(3483,3490) = 12155670

Least Common Multiple (LCM) of 3483 and 3490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3483 and 3490. First we will calculate the prime factors of 3483 and 3490.

Prime Factorization of 3483

Prime factors of 3483 are 3, 43. Prime factorization of 3483 in exponential form is:

3483 = 34 × 431

Prime Factorization of 3490

Prime factors of 3490 are 2, 5, 349. Prime factorization of 3490 in exponential form is:

3490 = 21 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 3483 and 3490.

LCM(3483,3490) = 34 × 431 × 21 × 51 × 3491
LCM(3483,3490) = 12155670