What is the Least Common Multiple of 63397 and 63401?
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 63397 and 63401 is 4019433197.
LCM(63397,63401) = 4019433197
Least Common Multiple of 63397 and 63401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63397 and 63401, than apply into the LCM equation.
GCF(63397,63401) = 1
LCM(63397,63401) = ( 63397 × 63401) / 1
LCM(63397,63401) = 4019433197 / 1
LCM(63397,63401) = 4019433197
Least Common Multiple (LCM) of 63397 and 63401 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63397 and 63401. First we will calculate the prime factors of 63397 and 63401.
Prime Factorization of 63397
Prime factors of 63397 are 63397. Prime factorization of 63397 in exponential form is:
63397 = 633971
Prime Factorization of 63401
Prime factors of 63401 are 13, 4877. Prime factorization of 63401 in exponential form is:
63401 = 131 × 48771
Now multiplying the highest exponent prime factors to calculate the LCM of 63397 and 63401.
LCM(63397,63401) = 633971 × 131 × 48771
LCM(63397,63401) = 4019433197
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