What is the Least Common Multiple of 63397 and 63417?
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 63417 is 4020447549.
LCM(63397,63417) = 4020447549
Least Common Multiple of 63397 and 63417 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 63417, than apply into the LCM equation.
GCF(63397,63417) = 1
LCM(63397,63417) = ( 63397 × 63417) / 1
LCM(63397,63417) = 4020447549 / 1
LCM(63397,63417) = 4020447549
Least Common Multiple (LCM) of 63397 and 63417 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63397 and 63417. First we will calculate the prime factors of 63397 and 63417.
Prime Factorization of 63397
Prime factors of 63397 are 63397. Prime factorization of 63397 in exponential form is:
63397 = 633971
Prime Factorization of 63417
Prime factors of 63417 are 3, 21139. Prime factorization of 63417 in exponential form is:
63417 = 31 × 211391
Now multiplying the highest exponent prime factors to calculate the LCM of 63397 and 63417.
LCM(63397,63417) = 633971 × 31 × 211391
LCM(63397,63417) = 4020447549
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