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What is the Least Common Multiple of 3446 and 3465?

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 3446 and 3465 is 11940390.

LCM(3446,3465) = 11940390

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Least Common Multiple of 3446 and 3465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3446 and 3465, than apply into the LCM equation.

GCF(3446,3465) = 1
LCM(3446,3465) = ( 3446 × 3465) / 1
LCM(3446,3465) = 11940390 / 1
LCM(3446,3465) = 11940390

Least Common Multiple (LCM) of 3446 and 3465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3446 and 3465. First we will calculate the prime factors of 3446 and 3465.

Prime Factorization of 3446

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

3446 = 21 × 17231

Prime Factorization of 3465

Prime factors of 3465 are 3, 5, 7, 11. Prime factorization of 3465 in exponential form is:

3465 = 32 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 3446 and 3465.

LCM(3446,3465) = 21 × 17231 × 32 × 51 × 71 × 111
LCM(3446,3465) = 11940390