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What is the Least Common Multiple of 63977 and 63986?

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 63977 and 63986 is 4093632322.

LCM(63977,63986) = 4093632322

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Least Common Multiple of 63977 and 63986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63977 and 63986, than apply into the LCM equation.

GCF(63977,63986) = 1
LCM(63977,63986) = ( 63977 × 63986) / 1
LCM(63977,63986) = 4093632322 / 1
LCM(63977,63986) = 4093632322

Least Common Multiple (LCM) of 63977 and 63986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63977 and 63986. First we will calculate the prime factors of 63977 and 63986.

Prime Factorization of 63977

Prime factors of 63977 are 63977. Prime factorization of 63977 in exponential form is:

63977 = 639771

Prime Factorization of 63986

Prime factors of 63986 are 2, 13, 23, 107. Prime factorization of 63986 in exponential form is:

63986 = 21 × 131 × 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 63977 and 63986.

LCM(63977,63986) = 639771 × 21 × 131 × 231 × 1071
LCM(63977,63986) = 4093632322