What is the Least Common Multiple of 6482 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 6482 and 6486 is 21021126.
LCM(6482,6486) = 21021126
Least Common Multiple of 6482 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 6482 and 6486, than apply into the LCM equation.
GCF(6482,6486) = 2
LCM(6482,6486) = ( 6482 × 6486) / 2
LCM(6482,6486) = 42042252 / 2
LCM(6482,6486) = 21021126
Least Common Multiple (LCM) of 6482 and 6486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6482 and 6486. First we will calculate the prime factors of 6482 and 6486.
Prime Factorization of 6482
Prime factors of 6482 are 2, 7, 463. Prime factorization of 6482 in exponential form is:
6482 = 21 × 71 × 4631
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 6482 and 6486.
LCM(6482,6486) = 21 × 71 × 4631 × 31 × 231 × 471
LCM(6482,6486) = 21021126
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