What is the Least Common Multiple of 63841 and 63849?
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 63849 is 4076184009.
LCM(63841,63849) = 4076184009
Least Common Multiple of 63841 and 63849 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 63849, than apply into the LCM equation.
GCF(63841,63849) = 1
LCM(63841,63849) = ( 63841 × 63849) / 1
LCM(63841,63849) = 4076184009 / 1
LCM(63841,63849) = 4076184009
Least Common Multiple (LCM) of 63841 and 63849 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63841 and 63849. First we will calculate the prime factors of 63841 and 63849.
Prime Factorization of 63841
Prime factors of 63841 are 63841. Prime factorization of 63841 in exponential form is:
63841 = 638411
Prime Factorization of 63849
Prime factors of 63849 are 3, 21283. Prime factorization of 63849 in exponential form is:
63849 = 31 × 212831
Now multiplying the highest exponent prime factors to calculate the LCM of 63841 and 63849.
LCM(63841,63849) = 638411 × 31 × 212831
LCM(63841,63849) = 4076184009
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