What is the Least Common Multiple of 5997 and 6005?
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 5997 and 6005 is 36011985.
LCM(5997,6005) = 36011985
Least Common Multiple of 5997 and 6005 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5997 and 6005, than apply into the LCM equation.
GCF(5997,6005) = 1
LCM(5997,6005) = ( 5997 × 6005) / 1
LCM(5997,6005) = 36011985 / 1
LCM(5997,6005) = 36011985
Least Common Multiple (LCM) of 5997 and 6005 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5997 and 6005. First we will calculate the prime factors of 5997 and 6005.
Prime Factorization of 5997
Prime factors of 5997 are 3, 1999. Prime factorization of 5997 in exponential form is:
5997 = 31 × 19991
Prime Factorization of 6005
Prime factors of 6005 are 5, 1201. Prime factorization of 6005 in exponential form is:
6005 = 51 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 5997 and 6005.
LCM(5997,6005) = 31 × 19991 × 51 × 12011
LCM(5997,6005) = 36011985
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