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What is the Least Common Multiple of 63841 and 63852?

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 63841 and 63852 is 4076375532.

LCM(63841,63852) = 4076375532

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Least Common Multiple of 63841 and 63852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63841 and 63852, than apply into the LCM equation.

GCF(63841,63852) = 1
LCM(63841,63852) = ( 63841 × 63852) / 1
LCM(63841,63852) = 4076375532 / 1
LCM(63841,63852) = 4076375532

Least Common Multiple (LCM) of 63841 and 63852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63841 and 63852. First we will calculate the prime factors of 63841 and 63852.

Prime Factorization of 63841

Prime factors of 63841 are 63841. Prime factorization of 63841 in exponential form is:

63841 = 638411

Prime Factorization of 63852

Prime factors of 63852 are 2, 3, 17, 313. Prime factorization of 63852 in exponential form is:

63852 = 22 × 31 × 171 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 63841 and 63852.

LCM(63841,63852) = 638411 × 22 × 31 × 171 × 3131
LCM(63841,63852) = 4076375532