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What is the Least Common Multiple of 63818 and 63835?

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 63835 is 239636590.

LCM(63818,63835) = 239636590

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Least Common Multiple of 63818 and 63835 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 63835, than apply into the LCM equation.

GCF(63818,63835) = 17
LCM(63818,63835) = ( 63818 × 63835) / 17
LCM(63818,63835) = 4073822030 / 17
LCM(63818,63835) = 239636590

Least Common Multiple (LCM) of 63818 and 63835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63818 and 63835. First we will calculate the prime factors of 63818 and 63835.

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 63835

Prime factors of 63835 are 5, 17, 751. Prime factorization of 63835 in exponential form is:

63835 = 51 × 171 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 63818 and 63835.

LCM(63818,63835) = 21 × 171 × 18771 × 51 × 7511
LCM(63818,63835) = 239636590