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What is the Least Common Multiple of 6407 and 6417?

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 6407 and 6417 is 41113719.

LCM(6407,6417) = 41113719

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Least Common Multiple of 6407 and 6417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6407 and 6417, than apply into the LCM equation.

GCF(6407,6417) = 1
LCM(6407,6417) = ( 6407 × 6417) / 1
LCM(6407,6417) = 41113719 / 1
LCM(6407,6417) = 41113719

Least Common Multiple (LCM) of 6407 and 6417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6407 and 6417. First we will calculate the prime factors of 6407 and 6417.

Prime Factorization of 6407

Prime factors of 6407 are 43, 149. Prime factorization of 6407 in exponential form is:

6407 = 431 × 1491

Prime Factorization of 6417

Prime factors of 6417 are 3, 23, 31. Prime factorization of 6417 in exponential form is:

6417 = 32 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6407 and 6417.

LCM(6407,6417) = 431 × 1491 × 32 × 231 × 311
LCM(6407,6417) = 41113719