What is the Least Common Multiple of 63881 and 63898?
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 63881 and 63898 is 4081868138.
LCM(63881,63898) = 4081868138
Least Common Multiple of 63881 and 63898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63881 and 63898, than apply into the LCM equation.
GCF(63881,63898) = 1
LCM(63881,63898) = ( 63881 × 63898) / 1
LCM(63881,63898) = 4081868138 / 1
LCM(63881,63898) = 4081868138
Least Common Multiple (LCM) of 63881 and 63898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63881 and 63898. First we will calculate the prime factors of 63881 and 63898.
Prime Factorization of 63881
Prime factors of 63881 are 127, 503. Prime factorization of 63881 in exponential form is:
63881 = 1271 × 5031
Prime Factorization of 63898
Prime factors of 63898 are 2, 43, 743. Prime factorization of 63898 in exponential form is:
63898 = 21 × 431 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 63881 and 63898.
LCM(63881,63898) = 1271 × 5031 × 21 × 431 × 7431
LCM(63881,63898) = 4081868138
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