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What is the Least Common Multiple of 6466 and 6486?

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 6466 and 6486 is 20969238.

LCM(6466,6486) = 20969238

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Least Common Multiple of 6466 and 6486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6466 and 6486, than apply into the LCM equation.

GCF(6466,6486) = 2
LCM(6466,6486) = ( 6466 × 6486) / 2
LCM(6466,6486) = 41938476 / 2
LCM(6466,6486) = 20969238

Least Common Multiple (LCM) of 6466 and 6486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6466 and 6486. First we will calculate the prime factors of 6466 and 6486.

Prime Factorization of 6466

Prime factors of 6466 are 2, 53, 61. Prime factorization of 6466 in exponential form is:

6466 = 21 × 531 × 611

Prime Factorization of 6486

Prime factors of 6486 are 2, 3, 23, 47. Prime factorization of 6486 in exponential form is:

6486 = 21 × 31 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 6466 and 6486.

LCM(6466,6486) = 21 × 531 × 611 × 31 × 231 × 471
LCM(6466,6486) = 20969238