What is the Least Common Multiple of 63899 and 63917?
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 63899 and 63917 is 4084232383.
LCM(63899,63917) = 4084232383
Least Common Multiple of 63899 and 63917 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63899 and 63917, than apply into the LCM equation.
GCF(63899,63917) = 1
LCM(63899,63917) = ( 63899 × 63917) / 1
LCM(63899,63917) = 4084232383 / 1
LCM(63899,63917) = 4084232383
Least Common Multiple (LCM) of 63899 and 63917 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63899 and 63917. First we will calculate the prime factors of 63899 and 63917.
Prime Factorization of 63899
Prime factors of 63899 are 11, 37, 157. Prime factorization of 63899 in exponential form is:
63899 = 111 × 371 × 1571
Prime Factorization of 63917
Prime factors of 63917 are 7, 23, 397. Prime factorization of 63917 in exponential form is:
63917 = 71 × 231 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 63899 and 63917.
LCM(63899,63917) = 111 × 371 × 1571 × 71 × 231 × 3971
LCM(63899,63917) = 4084232383
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