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What is the Least Common Multiple of 5998 and 6013?

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 5998 and 6013 is 36065974.

LCM(5998,6013) = 36065974

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Least Common Multiple of 5998 and 6013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5998 and 6013, than apply into the LCM equation.

GCF(5998,6013) = 1
LCM(5998,6013) = ( 5998 × 6013) / 1
LCM(5998,6013) = 36065974 / 1
LCM(5998,6013) = 36065974

Least Common Multiple (LCM) of 5998 and 6013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5998 and 6013. First we will calculate the prime factors of 5998 and 6013.

Prime Factorization of 5998

Prime factors of 5998 are 2, 2999. Prime factorization of 5998 in exponential form is:

5998 = 21 × 29991

Prime Factorization of 6013

Prime factors of 6013 are 7, 859. Prime factorization of 6013 in exponential form is:

6013 = 71 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 5998 and 6013.

LCM(5998,6013) = 21 × 29991 × 71 × 8591
LCM(5998,6013) = 36065974