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What is the Least Common Multiple of 63886 and 63892?

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 63886 and 63892 is 2040902156.

LCM(63886,63892) = 2040902156

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Least Common Multiple of 63886 and 63892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63886 and 63892, than apply into the LCM equation.

GCF(63886,63892) = 2
LCM(63886,63892) = ( 63886 × 63892) / 2
LCM(63886,63892) = 4081804312 / 2
LCM(63886,63892) = 2040902156

Least Common Multiple (LCM) of 63886 and 63892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63886 and 63892. First we will calculate the prime factors of 63886 and 63892.

Prime Factorization of 63886

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

63886 = 21 × 171 × 18791

Prime Factorization of 63892

Prime factors of 63892 are 2, 15973. Prime factorization of 63892 in exponential form is:

63892 = 22 × 159731

Now multiplying the highest exponent prime factors to calculate the LCM of 63886 and 63892.

LCM(63886,63892) = 22 × 171 × 18791 × 159731
LCM(63886,63892) = 2040902156