What is the Least Common Multiple of 62863 and 62867?
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 62863 and 62867 is 3952008221.
LCM(62863,62867) = 3952008221
Least Common Multiple of 62863 and 62867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62863 and 62867, than apply into the LCM equation.
GCF(62863,62867) = 1
LCM(62863,62867) = ( 62863 × 62867) / 1
LCM(62863,62867) = 3952008221 / 1
LCM(62863,62867) = 3952008221
Least Common Multiple (LCM) of 62863 and 62867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62863 and 62867. First we will calculate the prime factors of 62863 and 62867.
Prime Factorization of 62863
Prime factors of 62863 are 37, 1699. Prime factorization of 62863 in exponential form is:
62863 = 371 × 16991
Prime Factorization of 62867
Prime factors of 62867 are 7, 1283. Prime factorization of 62867 in exponential form is:
62867 = 72 × 12831
Now multiplying the highest exponent prime factors to calculate the LCM of 62863 and 62867.
LCM(62863,62867) = 371 × 16991 × 72 × 12831
LCM(62863,62867) = 3952008221
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