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What is the Least Common Multiple of 63884 and 63897?

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 63884 and 63897 is 4081995948.

LCM(63884,63897) = 4081995948

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Least Common Multiple of 63884 and 63897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63884 and 63897, than apply into the LCM equation.

GCF(63884,63897) = 1
LCM(63884,63897) = ( 63884 × 63897) / 1
LCM(63884,63897) = 4081995948 / 1
LCM(63884,63897) = 4081995948

Least Common Multiple (LCM) of 63884 and 63897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63884 and 63897. First we will calculate the prime factors of 63884 and 63897.

Prime Factorization of 63884

Prime factors of 63884 are 2, 15971. Prime factorization of 63884 in exponential form is:

63884 = 22 × 159711

Prime Factorization of 63897

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

63897 = 31 × 192 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 63884 and 63897.

LCM(63884,63897) = 22 × 159711 × 31 × 192 × 591
LCM(63884,63897) = 4081995948