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What is the Least Common Multiple of 63897 and 63902?

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 63897 and 63902 is 4083146094.

LCM(63897,63902) = 4083146094

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Least Common Multiple of 63897 and 63902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63897 and 63902, than apply into the LCM equation.

GCF(63897,63902) = 1
LCM(63897,63902) = ( 63897 × 63902) / 1
LCM(63897,63902) = 4083146094 / 1
LCM(63897,63902) = 4083146094

Least Common Multiple (LCM) of 63897 and 63902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63897 and 63902. First we will calculate the prime factors of 63897 and 63902.

Prime Factorization of 63897

Prime factors of 63897 are 3, 19, 59. Prime factorization of 63897 in exponential form is:

63897 = 31 × 192 × 591

Prime Factorization of 63902

Prime factors of 63902 are 2, 89, 359. Prime factorization of 63902 in exponential form is:

63902 = 21 × 891 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 63897 and 63902.

LCM(63897,63902) = 31 × 192 × 591 × 21 × 891 × 3591
LCM(63897,63902) = 4083146094