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What is the Least Common Multiple of 5999 and 6010?

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 6010 is 36053990.

LCM(5999,6010) = 36053990

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Least Common Multiple of 5999 and 6010 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 6010, than apply into the LCM equation.

GCF(5999,6010) = 1
LCM(5999,6010) = ( 5999 × 6010) / 1
LCM(5999,6010) = 36053990 / 1
LCM(5999,6010) = 36053990

Least Common Multiple (LCM) of 5999 and 6010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5999 and 6010. First we will calculate the prime factors of 5999 and 6010.

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 6010

Prime factors of 6010 are 2, 5, 601. Prime factorization of 6010 in exponential form is:

6010 = 21 × 51 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 5999 and 6010.

LCM(5999,6010) = 71 × 8571 × 21 × 51 × 6011
LCM(5999,6010) = 36053990