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What is the Least Common Multiple of 63482 and 63492?

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 63492 is 2015299572.

LCM(63482,63492) = 2015299572

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Least Common Multiple of 63482 and 63492 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 63492, than apply into the LCM equation.

GCF(63482,63492) = 2
LCM(63482,63492) = ( 63482 × 63492) / 2
LCM(63482,63492) = 4030599144 / 2
LCM(63482,63492) = 2015299572

Least Common Multiple (LCM) of 63482 and 63492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63482 and 63492. First we will calculate the prime factors of 63482 and 63492.

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 63492

Prime factors of 63492 are 2, 3, 11, 13, 37. Prime factorization of 63492 in exponential form is:

63492 = 22 × 31 × 111 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 63482 and 63492.

LCM(63482,63492) = 22 × 317411 × 31 × 111 × 131 × 371
LCM(63482,63492) = 2015299572