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What is the Least Common Multiple of 6457 and 6471?

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 6457 and 6471 is 41783247.

LCM(6457,6471) = 41783247

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Least Common Multiple of 6457 and 6471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6457 and 6471, than apply into the LCM equation.

GCF(6457,6471) = 1
LCM(6457,6471) = ( 6457 × 6471) / 1
LCM(6457,6471) = 41783247 / 1
LCM(6457,6471) = 41783247

Least Common Multiple (LCM) of 6457 and 6471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6457 and 6471. First we will calculate the prime factors of 6457 and 6471.

Prime Factorization of 6457

Prime factors of 6457 are 11, 587. Prime factorization of 6457 in exponential form is:

6457 = 111 × 5871

Prime Factorization of 6471

Prime factors of 6471 are 3, 719. Prime factorization of 6471 in exponential form is:

6471 = 32 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 6457 and 6471.

LCM(6457,6471) = 111 × 5871 × 32 × 7191
LCM(6457,6471) = 41783247