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What is the Least Common Multiple of 10984 and 11004?

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 10984 and 11004 is 30216984.

LCM(10984,11004) = 30216984

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Least Common Multiple of 10984 and 11004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10984 and 11004, than apply into the LCM equation.

GCF(10984,11004) = 4
LCM(10984,11004) = ( 10984 × 11004) / 4
LCM(10984,11004) = 120867936 / 4
LCM(10984,11004) = 30216984

Least Common Multiple (LCM) of 10984 and 11004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10984 and 11004. First we will calculate the prime factors of 10984 and 11004.

Prime Factorization of 10984

Prime factors of 10984 are 2, 1373. Prime factorization of 10984 in exponential form is:

10984 = 23 × 13731

Prime Factorization of 11004

Prime factors of 11004 are 2, 3, 7, 131. Prime factorization of 11004 in exponential form is:

11004 = 22 × 31 × 71 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10984 and 11004.

LCM(10984,11004) = 23 × 13731 × 31 × 71 × 1311
LCM(10984,11004) = 30216984