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What is the Least Common Multiple of 11073 and 11081?

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 11073 and 11081 is 122699913.

LCM(11073,11081) = 122699913

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Least Common Multiple of 11073 and 11081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11073 and 11081, than apply into the LCM equation.

GCF(11073,11081) = 1
LCM(11073,11081) = ( 11073 × 11081) / 1
LCM(11073,11081) = 122699913 / 1
LCM(11073,11081) = 122699913

Least Common Multiple (LCM) of 11073 and 11081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11073 and 11081. First we will calculate the prime factors of 11073 and 11081.

Prime Factorization of 11073

Prime factors of 11073 are 3, 3691. Prime factorization of 11073 in exponential form is:

11073 = 31 × 36911

Prime Factorization of 11081

Prime factors of 11081 are 7, 1583. Prime factorization of 11081 in exponential form is:

11081 = 71 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 11073 and 11081.

LCM(11073,11081) = 31 × 36911 × 71 × 15831
LCM(11073,11081) = 122699913