What is the Least Common Multiple of 62337 and 62347?
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 62337 and 62347 is 3886524939.
LCM(62337,62347) = 3886524939
Least Common Multiple of 62337 and 62347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62337 and 62347, than apply into the LCM equation.
GCF(62337,62347) = 1
LCM(62337,62347) = ( 62337 × 62347) / 1
LCM(62337,62347) = 3886524939 / 1
LCM(62337,62347) = 3886524939
Least Common Multiple (LCM) of 62337 and 62347 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62337 and 62347. First we will calculate the prime factors of 62337 and 62347.
Prime Factorization of 62337
Prime factors of 62337 are 3, 11, 1889. Prime factorization of 62337 in exponential form is:
62337 = 31 × 111 × 18891
Prime Factorization of 62347
Prime factors of 62347 are 62347. Prime factorization of 62347 in exponential form is:
62347 = 623471
Now multiplying the highest exponent prime factors to calculate the LCM of 62337 and 62347.
LCM(62337,62347) = 31 × 111 × 18891 × 623471
LCM(62337,62347) = 3886524939
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