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What is the Least Common Multiple of 63869 and 63886?

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 63869 and 63886 is 240019702.

LCM(63869,63886) = 240019702

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Least Common Multiple of 63869 and 63886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63869 and 63886, than apply into the LCM equation.

GCF(63869,63886) = 17
LCM(63869,63886) = ( 63869 × 63886) / 17
LCM(63869,63886) = 4080334934 / 17
LCM(63869,63886) = 240019702

Least Common Multiple (LCM) of 63869 and 63886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63869 and 63886. First we will calculate the prime factors of 63869 and 63886.

Prime Factorization of 63869

Prime factors of 63869 are 13, 17. Prime factorization of 63869 in exponential form is:

63869 = 131 × 173

Prime Factorization of 63886

Prime factors of 63886 are 2, 17, 1879. Prime factorization of 63886 in exponential form is:

63886 = 21 × 171 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 63869 and 63886.

LCM(63869,63886) = 131 × 173 × 21 × 18791
LCM(63869,63886) = 240019702