What is the Least Common Multiple of 62287 and 62291?
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 62287 and 62291 is 3879919517.
LCM(62287,62291) = 3879919517
Least Common Multiple of 62287 and 62291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62287 and 62291, than apply into the LCM equation.
GCF(62287,62291) = 1
LCM(62287,62291) = ( 62287 × 62291) / 1
LCM(62287,62291) = 3879919517 / 1
LCM(62287,62291) = 3879919517
Least Common Multiple (LCM) of 62287 and 62291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62287 and 62291. First we will calculate the prime factors of 62287 and 62291.
Prime Factorization of 62287
Prime factors of 62287 are 199, 313. Prime factorization of 62287 in exponential form is:
62287 = 1991 × 3131
Prime Factorization of 62291
Prime factors of 62291 are 167, 373. Prime factorization of 62291 in exponential form is:
62291 = 1671 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 62287 and 62291.
LCM(62287,62291) = 1991 × 3131 × 1671 × 3731
LCM(62287,62291) = 3879919517
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