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What is the Least Common Multiple of 29999 and 30018?

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 29999 and 30018 is 900509982.

LCM(29999,30018) = 900509982

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Least Common Multiple of 29999 and 30018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29999 and 30018, than apply into the LCM equation.

GCF(29999,30018) = 1
LCM(29999,30018) = ( 29999 × 30018) / 1
LCM(29999,30018) = 900509982 / 1
LCM(29999,30018) = 900509982

Least Common Multiple (LCM) of 29999 and 30018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29999 and 30018. First we will calculate the prime factors of 29999 and 30018.

Prime Factorization of 29999

Prime factors of 29999 are 131, 229. Prime factorization of 29999 in exponential form is:

29999 = 1311 × 2291

Prime Factorization of 30018

Prime factors of 30018 are 2, 3, 5003. Prime factorization of 30018 in exponential form is:

30018 = 21 × 31 × 50031

Now multiplying the highest exponent prime factors to calculate the LCM of 29999 and 30018.

LCM(29999,30018) = 1311 × 2291 × 21 × 31 × 50031
LCM(29999,30018) = 900509982