What is the Least Common Multiple of 5999 and 6015?
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 5999 and 6015 is 36083985.
LCM(5999,6015) = 36083985
Least Common Multiple of 5999 and 6015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5999 and 6015, than apply into the LCM equation.
GCF(5999,6015) = 1
LCM(5999,6015) = ( 5999 × 6015) / 1
LCM(5999,6015) = 36083985 / 1
LCM(5999,6015) = 36083985
Least Common Multiple (LCM) of 5999 and 6015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5999 and 6015. First we will calculate the prime factors of 5999 and 6015.
Prime Factorization of 5999
Prime factors of 5999 are 7, 857. Prime factorization of 5999 in exponential form is:
5999 = 71 × 8571
Prime Factorization of 6015
Prime factors of 6015 are 3, 5, 401. Prime factorization of 6015 in exponential form is:
6015 = 31 × 51 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 5999 and 6015.
LCM(5999,6015) = 71 × 8571 × 31 × 51 × 4011
LCM(5999,6015) = 36083985
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