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What is the Least Common Multiple of 6401 and 6409?

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 6401 and 6409 is 41024009.

LCM(6401,6409) = 41024009

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Least Common Multiple of 6401 and 6409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6401 and 6409, than apply into the LCM equation.

GCF(6401,6409) = 1
LCM(6401,6409) = ( 6401 × 6409) / 1
LCM(6401,6409) = 41024009 / 1
LCM(6401,6409) = 41024009

Least Common Multiple (LCM) of 6401 and 6409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6401 and 6409. First we will calculate the prime factors of 6401 and 6409.

Prime Factorization of 6401

Prime factors of 6401 are 37, 173. Prime factorization of 6401 in exponential form is:

6401 = 371 × 1731

Prime Factorization of 6409

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

6409 = 131 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6401 and 6409.

LCM(6401,6409) = 371 × 1731 × 131 × 171 × 291
LCM(6401,6409) = 41024009