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What is the Least Common Multiple of 6476 and 6496?

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 6476 and 6496 is 10517024.

LCM(6476,6496) = 10517024

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Least Common Multiple of 6476 and 6496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6476 and 6496, than apply into the LCM equation.

GCF(6476,6496) = 4
LCM(6476,6496) = ( 6476 × 6496) / 4
LCM(6476,6496) = 42068096 / 4
LCM(6476,6496) = 10517024

Least Common Multiple (LCM) of 6476 and 6496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6476 and 6496. First we will calculate the prime factors of 6476 and 6496.

Prime Factorization of 6476

Prime factors of 6476 are 2, 1619. Prime factorization of 6476 in exponential form is:

6476 = 22 × 16191

Prime Factorization of 6496

Prime factors of 6496 are 2, 7, 29. Prime factorization of 6496 in exponential form is:

6496 = 25 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6476 and 6496.

LCM(6476,6496) = 25 × 16191 × 71 × 291
LCM(6476,6496) = 10517024