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What is the Least Common Multiple of 6409 and 6414?

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 6409 and 6414 is 41107326.

LCM(6409,6414) = 41107326

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Least Common Multiple of 6409 and 6414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6409 and 6414, than apply into the LCM equation.

GCF(6409,6414) = 1
LCM(6409,6414) = ( 6409 × 6414) / 1
LCM(6409,6414) = 41107326 / 1
LCM(6409,6414) = 41107326

Least Common Multiple (LCM) of 6409 and 6414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6409 and 6414. First we will calculate the prime factors of 6409 and 6414.

Prime Factorization of 6409

Prime factors of 6409 are 13, 17, 29. Prime factorization of 6409 in exponential form is:

6409 = 131 × 171 × 291

Prime Factorization of 6414

Prime factors of 6414 are 2, 3, 1069. Prime factorization of 6414 in exponential form is:

6414 = 21 × 31 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 6409 and 6414.

LCM(6409,6414) = 131 × 171 × 291 × 21 × 31 × 10691
LCM(6409,6414) = 41107326