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What is the Least Common Multiple of 63838 and 63853?

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 63838 and 63853 is 4076247814.

LCM(63838,63853) = 4076247814

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Least Common Multiple of 63838 and 63853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63838 and 63853, than apply into the LCM equation.

GCF(63838,63853) = 1
LCM(63838,63853) = ( 63838 × 63853) / 1
LCM(63838,63853) = 4076247814 / 1
LCM(63838,63853) = 4076247814

Least Common Multiple (LCM) of 63838 and 63853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63838 and 63853. First we will calculate the prime factors of 63838 and 63853.

Prime Factorization of 63838

Prime factors of 63838 are 2, 59, 541. Prime factorization of 63838 in exponential form is:

63838 = 21 × 591 × 5411

Prime Factorization of 63853

Prime factors of 63853 are 63853. Prime factorization of 63853 in exponential form is:

63853 = 638531

Now multiplying the highest exponent prime factors to calculate the LCM of 63838 and 63853.

LCM(63838,63853) = 21 × 591 × 5411 × 638531
LCM(63838,63853) = 4076247814