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What is the Least Common Multiple of 6393 and 6406?

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 6393 and 6406 is 40953558.

LCM(6393,6406) = 40953558

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Least Common Multiple of 6393 and 6406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6393 and 6406, than apply into the LCM equation.

GCF(6393,6406) = 1
LCM(6393,6406) = ( 6393 × 6406) / 1
LCM(6393,6406) = 40953558 / 1
LCM(6393,6406) = 40953558

Least Common Multiple (LCM) of 6393 and 6406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6393 and 6406. First we will calculate the prime factors of 6393 and 6406.

Prime Factorization of 6393

Prime factors of 6393 are 3, 2131. Prime factorization of 6393 in exponential form is:

6393 = 31 × 21311

Prime Factorization of 6406

Prime factors of 6406 are 2, 3203. Prime factorization of 6406 in exponential form is:

6406 = 21 × 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 6393 and 6406.

LCM(6393,6406) = 31 × 21311 × 21 × 32031
LCM(6393,6406) = 40953558