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What is the Least Common Multiple of 63482 and 63486?

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 63482 and 63486 is 2015109126.

LCM(63482,63486) = 2015109126

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Least Common Multiple of 63482 and 63486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63482 and 63486, than apply into the LCM equation.

GCF(63482,63486) = 2
LCM(63482,63486) = ( 63482 × 63486) / 2
LCM(63482,63486) = 4030218252 / 2
LCM(63482,63486) = 2015109126

Least Common Multiple (LCM) of 63482 and 63486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63482 and 63486. First we will calculate the prime factors of 63482 and 63486.

Prime Factorization of 63482

Prime factors of 63482 are 2, 31741. Prime factorization of 63482 in exponential form is:

63482 = 21 × 317411

Prime Factorization of 63486

Prime factors of 63486 are 2, 3, 3527. Prime factorization of 63486 in exponential form is:

63486 = 21 × 32 × 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 63482 and 63486.

LCM(63482,63486) = 21 × 317411 × 32 × 35271
LCM(63482,63486) = 2015109126