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What is the Least Common Multiple of 29988 and 30001?

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 29988 and 30001 is 899669988.

LCM(29988,30001) = 899669988

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Least Common Multiple of 29988 and 30001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29988 and 30001, than apply into the LCM equation.

GCF(29988,30001) = 1
LCM(29988,30001) = ( 29988 × 30001) / 1
LCM(29988,30001) = 899669988 / 1
LCM(29988,30001) = 899669988

Least Common Multiple (LCM) of 29988 and 30001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29988 and 30001. First we will calculate the prime factors of 29988 and 30001.

Prime Factorization of 29988

Prime factors of 29988 are 2, 3, 7, 17. Prime factorization of 29988 in exponential form is:

29988 = 22 × 32 × 72 × 171

Prime Factorization of 30001

Prime factors of 30001 are 19, 1579. Prime factorization of 30001 in exponential form is:

30001 = 191 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 29988 and 30001.

LCM(29988,30001) = 22 × 32 × 72 × 171 × 191 × 15791
LCM(29988,30001) = 899669988