What is the Least Common Multiple of 63898 and 63903?
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 63898 and 63903 is 4083273894.
LCM(63898,63903) = 4083273894
Least Common Multiple of 63898 and 63903 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63898 and 63903, than apply into the LCM equation.
GCF(63898,63903) = 1
LCM(63898,63903) = ( 63898 × 63903) / 1
LCM(63898,63903) = 4083273894 / 1
LCM(63898,63903) = 4083273894
Least Common Multiple (LCM) of 63898 and 63903 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63898 and 63903. First we will calculate the prime factors of 63898 and 63903.
Prime Factorization of 63898
Prime factors of 63898 are 2, 43, 743. Prime factorization of 63898 in exponential form is:
63898 = 21 × 431 × 7431
Prime Factorization of 63903
Prime factors of 63903 are 3, 7, 17, 179. Prime factorization of 63903 in exponential form is:
63903 = 31 × 71 × 171 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 63898 and 63903.
LCM(63898,63903) = 21 × 431 × 7431 × 31 × 71 × 171 × 1791
LCM(63898,63903) = 4083273894
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