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What is the Least Common Multiple of 63979 and 63999?

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 63979 and 63999 is 4094592021.

LCM(63979,63999) = 4094592021

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Least Common Multiple of 63979 and 63999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63979 and 63999, than apply into the LCM equation.

GCF(63979,63999) = 1
LCM(63979,63999) = ( 63979 × 63999) / 1
LCM(63979,63999) = 4094592021 / 1
LCM(63979,63999) = 4094592021

Least Common Multiple (LCM) of 63979 and 63999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63979 and 63999. First we will calculate the prime factors of 63979 and 63999.

Prime Factorization of 63979

Prime factors of 63979 are 137, 467. Prime factorization of 63979 in exponential form is:

63979 = 1371 × 4671

Prime Factorization of 63999

Prime factors of 63999 are 3, 13, 547. Prime factorization of 63999 in exponential form is:

63999 = 32 × 131 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 63979 and 63999.

LCM(63979,63999) = 1371 × 4671 × 32 × 131 × 5471
LCM(63979,63999) = 4094592021