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What is the Least Common Multiple of 10999 and 11013?

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 10999 and 11013 is 121131987.

LCM(10999,11013) = 121131987

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Least Common Multiple of 10999 and 11013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10999 and 11013, than apply into the LCM equation.

GCF(10999,11013) = 1
LCM(10999,11013) = ( 10999 × 11013) / 1
LCM(10999,11013) = 121131987 / 1
LCM(10999,11013) = 121131987

Least Common Multiple (LCM) of 10999 and 11013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10999 and 11013. First we will calculate the prime factors of 10999 and 11013.

Prime Factorization of 10999

Prime factors of 10999 are 17, 647. Prime factorization of 10999 in exponential form is:

10999 = 171 × 6471

Prime Factorization of 11013

Prime factors of 11013 are 3, 3671. Prime factorization of 11013 in exponential form is:

11013 = 31 × 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 10999 and 11013.

LCM(10999,11013) = 171 × 6471 × 31 × 36711
LCM(10999,11013) = 121131987