What is the Least Common Multiple of 5991 and 6003?
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 5991 and 6003 is 11987991.
LCM(5991,6003) = 11987991
Least Common Multiple of 5991 and 6003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5991 and 6003, than apply into the LCM equation.
GCF(5991,6003) = 3
LCM(5991,6003) = ( 5991 × 6003) / 3
LCM(5991,6003) = 35963973 / 3
LCM(5991,6003) = 11987991
Least Common Multiple (LCM) of 5991 and 6003 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5991 and 6003. First we will calculate the prime factors of 5991 and 6003.
Prime Factorization of 5991
Prime factors of 5991 are 3, 1997. Prime factorization of 5991 in exponential form is:
5991 = 31 × 19971
Prime Factorization of 6003
Prime factors of 6003 are 3, 23, 29. Prime factorization of 6003 in exponential form is:
6003 = 32 × 231 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 5991 and 6003.
LCM(5991,6003) = 32 × 19971 × 231 × 291
LCM(5991,6003) = 11987991
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