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What is the Least Common Multiple of 63818 and 63838?

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 63818 and 63838 is 2037006742.

LCM(63818,63838) = 2037006742

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Least Common Multiple of 63818 and 63838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63818 and 63838, than apply into the LCM equation.

GCF(63818,63838) = 2
LCM(63818,63838) = ( 63818 × 63838) / 2
LCM(63818,63838) = 4074013484 / 2
LCM(63818,63838) = 2037006742

Least Common Multiple (LCM) of 63818 and 63838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63818 and 63838. First we will calculate the prime factors of 63818 and 63838.

Prime Factorization of 63818

Prime factors of 63818 are 2, 17, 1877. Prime factorization of 63818 in exponential form is:

63818 = 21 × 171 × 18771

Prime Factorization of 63838

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

63838 = 21 × 591 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 63818 and 63838.

LCM(63818,63838) = 21 × 171 × 18771 × 591 × 5411
LCM(63818,63838) = 2037006742