What is the Least Common Multiple of 63397 and 63403?
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 63403 is 4019559991.
LCM(63397,63403) = 4019559991
Least Common Multiple of 63397 and 63403 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 63403, than apply into the LCM equation.
GCF(63397,63403) = 1
LCM(63397,63403) = ( 63397 × 63403) / 1
LCM(63397,63403) = 4019559991 / 1
LCM(63397,63403) = 4019559991
Least Common Multiple (LCM) of 63397 and 63403 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63397 and 63403. First we will calculate the prime factors of 63397 and 63403.
Prime Factorization of 63397
Prime factors of 63397 are 63397. Prime factorization of 63397 in exponential form is:
63397 = 633971
Prime Factorization of 63403
Prime factors of 63403 are 19, 47, 71. Prime factorization of 63403 in exponential form is:
63403 = 191 × 471 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 63397 and 63403.
LCM(63397,63403) = 633971 × 191 × 471 × 711
LCM(63397,63403) = 4019559991
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