What is the Least Common Multiple of 63836 and 63855?
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 63836 and 63855 is 4076247780.
LCM(63836,63855) = 4076247780
Least Common Multiple of 63836 and 63855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63836 and 63855, than apply into the LCM equation.
GCF(63836,63855) = 1
LCM(63836,63855) = ( 63836 × 63855) / 1
LCM(63836,63855) = 4076247780 / 1
LCM(63836,63855) = 4076247780
Least Common Multiple (LCM) of 63836 and 63855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63836 and 63855. First we will calculate the prime factors of 63836 and 63855.
Prime Factorization of 63836
Prime factors of 63836 are 2, 15959. Prime factorization of 63836 in exponential form is:
63836 = 22 × 159591
Prime Factorization of 63855
Prime factors of 63855 are 3, 5, 11, 43. Prime factorization of 63855 in exponential form is:
63855 = 33 × 51 × 111 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 63836 and 63855.
LCM(63836,63855) = 22 × 159591 × 33 × 51 × 111 × 431
LCM(63836,63855) = 4076247780
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