What is the Least Common Multiple of 6337 and 6341?
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 6337 and 6341 is 40182917.
LCM(6337,6341) = 40182917
Least Common Multiple of 6337 and 6341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6337 and 6341, than apply into the LCM equation.
GCF(6337,6341) = 1
LCM(6337,6341) = ( 6337 × 6341) / 1
LCM(6337,6341) = 40182917 / 1
LCM(6337,6341) = 40182917
Least Common Multiple (LCM) of 6337 and 6341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6337 and 6341. First we will calculate the prime factors of 6337 and 6341.
Prime Factorization of 6337
Prime factors of 6337 are 6337. Prime factorization of 6337 in exponential form is:
6337 = 63371
Prime Factorization of 6341
Prime factors of 6341 are 17, 373. Prime factorization of 6341 in exponential form is:
6341 = 171 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 6337 and 6341.
LCM(6337,6341) = 63371 × 171 × 3731
LCM(6337,6341) = 40182917
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