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What is the Least Common Multiple of 8990 and 9004?

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 8990 and 9004 is 40472980.

LCM(8990,9004) = 40472980

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Least Common Multiple of 8990 and 9004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8990 and 9004, than apply into the LCM equation.

GCF(8990,9004) = 2
LCM(8990,9004) = ( 8990 × 9004) / 2
LCM(8990,9004) = 80945960 / 2
LCM(8990,9004) = 40472980

Least Common Multiple (LCM) of 8990 and 9004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8990 and 9004. First we will calculate the prime factors of 8990 and 9004.

Prime Factorization of 8990

Prime factors of 8990 are 2, 5, 29, 31. Prime factorization of 8990 in exponential form is:

8990 = 21 × 51 × 291 × 311

Prime Factorization of 9004

Prime factors of 9004 are 2, 2251. Prime factorization of 9004 in exponential form is:

9004 = 22 × 22511

Now multiplying the highest exponent prime factors to calculate the LCM of 8990 and 9004.

LCM(8990,9004) = 22 × 51 × 291 × 311 × 22511
LCM(8990,9004) = 40472980