What is the Least Common Multiple of 63849 and 63863?
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 63849 and 63863 is 4077588687.
LCM(63849,63863) = 4077588687
Least Common Multiple of 63849 and 63863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63849 and 63863, than apply into the LCM equation.
GCF(63849,63863) = 1
LCM(63849,63863) = ( 63849 × 63863) / 1
LCM(63849,63863) = 4077588687 / 1
LCM(63849,63863) = 4077588687
Least Common Multiple (LCM) of 63849 and 63863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63849 and 63863. First we will calculate the prime factors of 63849 and 63863.
Prime Factorization of 63849
Prime factors of 63849 are 3, 21283. Prime factorization of 63849 in exponential form is:
63849 = 31 × 212831
Prime Factorization of 63863
Prime factors of 63863 are 63863. Prime factorization of 63863 in exponential form is:
63863 = 638631
Now multiplying the highest exponent prime factors to calculate the LCM of 63849 and 63863.
LCM(63849,63863) = 31 × 212831 × 638631
LCM(63849,63863) = 4077588687
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