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What is the Least Common Multiple of 5990 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 5990 and 6005 is 7193990.

LCM(5990,6005) = 7193990

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Least Common Multiple of 5990 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 5990 and 6005, than apply into the LCM equation.

GCF(5990,6005) = 5
LCM(5990,6005) = ( 5990 × 6005) / 5
LCM(5990,6005) = 35969950 / 5
LCM(5990,6005) = 7193990

Least Common Multiple (LCM) of 5990 and 6005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5990 and 6005. First we will calculate the prime factors of 5990 and 6005.

Prime Factorization of 5990

Prime factors of 5990 are 2, 5, 599. Prime factorization of 5990 in exponential form is:

5990 = 21 × 51 × 5991

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 5990 and 6005.

LCM(5990,6005) = 21 × 51 × 5991 × 12011
LCM(5990,6005) = 7193990