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What is the Least Common Multiple of 11021 and 11036?

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 11021 and 11036 is 121627756.

LCM(11021,11036) = 121627756

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Least Common Multiple of 11021 and 11036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11021 and 11036, than apply into the LCM equation.

GCF(11021,11036) = 1
LCM(11021,11036) = ( 11021 × 11036) / 1
LCM(11021,11036) = 121627756 / 1
LCM(11021,11036) = 121627756

Least Common Multiple (LCM) of 11021 and 11036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11021 and 11036. First we will calculate the prime factors of 11021 and 11036.

Prime Factorization of 11021

Prime factors of 11021 are 103, 107. Prime factorization of 11021 in exponential form is:

11021 = 1031 × 1071

Prime Factorization of 11036

Prime factors of 11036 are 2, 31, 89. Prime factorization of 11036 in exponential form is:

11036 = 22 × 311 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 11021 and 11036.

LCM(11021,11036) = 1031 × 1071 × 22 × 311 × 891
LCM(11021,11036) = 121627756