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What is the Least Common Multiple of 63862 and 63873?

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 63862 and 63873 is 4079057526.

LCM(63862,63873) = 4079057526

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Least Common Multiple of 63862 and 63873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63862 and 63873, than apply into the LCM equation.

GCF(63862,63873) = 1
LCM(63862,63873) = ( 63862 × 63873) / 1
LCM(63862,63873) = 4079057526 / 1
LCM(63862,63873) = 4079057526

Least Common Multiple (LCM) of 63862 and 63873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63862 and 63873. First we will calculate the prime factors of 63862 and 63873.

Prime Factorization of 63862

Prime factors of 63862 are 2, 37, 863. Prime factorization of 63862 in exponential form is:

63862 = 21 × 371 × 8631

Prime Factorization of 63873

Prime factors of 63873 are 3, 47, 151. Prime factorization of 63873 in exponential form is:

63873 = 32 × 471 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 63862 and 63873.

LCM(63862,63873) = 21 × 371 × 8631 × 32 × 471 × 1511
LCM(63862,63873) = 4079057526