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What is the Least Common Multiple of 63879 and 63885?

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 63879 and 63885 is 1360303305.

LCM(63879,63885) = 1360303305

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Least Common Multiple of 63879 and 63885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63879 and 63885, than apply into the LCM equation.

GCF(63879,63885) = 3
LCM(63879,63885) = ( 63879 × 63885) / 3
LCM(63879,63885) = 4080909915 / 3
LCM(63879,63885) = 1360303305

Least Common Multiple (LCM) of 63879 and 63885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63879 and 63885. First we will calculate the prime factors of 63879 and 63885.

Prime Factorization of 63879

Prime factors of 63879 are 3, 107, 199. Prime factorization of 63879 in exponential form is:

63879 = 31 × 1071 × 1991

Prime Factorization of 63885

Prime factors of 63885 are 3, 5, 4259. Prime factorization of 63885 in exponential form is:

63885 = 31 × 51 × 42591

Now multiplying the highest exponent prime factors to calculate the LCM of 63879 and 63885.

LCM(63879,63885) = 31 × 1071 × 1991 × 51 × 42591
LCM(63879,63885) = 1360303305