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What is the Least Common Multiple of 63882 and 63901?

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 63882 and 63901 is 4082123682.

LCM(63882,63901) = 4082123682

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Least Common Multiple of 63882 and 63901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63882 and 63901, than apply into the LCM equation.

GCF(63882,63901) = 1
LCM(63882,63901) = ( 63882 × 63901) / 1
LCM(63882,63901) = 4082123682 / 1
LCM(63882,63901) = 4082123682

Least Common Multiple (LCM) of 63882 and 63901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63882 and 63901. First we will calculate the prime factors of 63882 and 63901.

Prime Factorization of 63882

Prime factors of 63882 are 2, 3, 7, 13. Prime factorization of 63882 in exponential form is:

63882 = 21 × 33 × 71 × 132

Prime Factorization of 63901

Prime factors of 63901 are 63901. Prime factorization of 63901 in exponential form is:

63901 = 639011

Now multiplying the highest exponent prime factors to calculate the LCM of 63882 and 63901.

LCM(63882,63901) = 21 × 33 × 71 × 132 × 639011
LCM(63882,63901) = 4082123682