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What is the Least Common Multiple of 3429 and 3446?

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 3429 and 3446 is 11816334.

LCM(3429,3446) = 11816334

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Least Common Multiple of 3429 and 3446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3429 and 3446, than apply into the LCM equation.

GCF(3429,3446) = 1
LCM(3429,3446) = ( 3429 × 3446) / 1
LCM(3429,3446) = 11816334 / 1
LCM(3429,3446) = 11816334

Least Common Multiple (LCM) of 3429 and 3446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3429 and 3446. First we will calculate the prime factors of 3429 and 3446.

Prime Factorization of 3429

Prime factors of 3429 are 3, 127. Prime factorization of 3429 in exponential form is:

3429 = 33 × 1271

Prime Factorization of 3446

Prime factors of 3446 are 2, 1723. Prime factorization of 3446 in exponential form is:

3446 = 21 × 17231

Now multiplying the highest exponent prime factors to calculate the LCM of 3429 and 3446.

LCM(3429,3446) = 33 × 1271 × 21 × 17231
LCM(3429,3446) = 11816334