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What is the Least Common Multiple of 10992 and 11007?

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 10992 and 11007 is 40329648.

LCM(10992,11007) = 40329648

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Least Common Multiple of 10992 and 11007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10992 and 11007, than apply into the LCM equation.

GCF(10992,11007) = 3
LCM(10992,11007) = ( 10992 × 11007) / 3
LCM(10992,11007) = 120988944 / 3
LCM(10992,11007) = 40329648

Least Common Multiple (LCM) of 10992 and 11007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10992 and 11007. First we will calculate the prime factors of 10992 and 11007.

Prime Factorization of 10992

Prime factors of 10992 are 2, 3, 229. Prime factorization of 10992 in exponential form is:

10992 = 24 × 31 × 2291

Prime Factorization of 11007

Prime factors of 11007 are 3, 1223. Prime factorization of 11007 in exponential form is:

11007 = 32 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 10992 and 11007.

LCM(10992,11007) = 24 × 32 × 2291 × 12231
LCM(10992,11007) = 40329648