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What is the Least Common Multiple of 11116 and 11122?

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 11116 and 11122 is 61816076.

LCM(11116,11122) = 61816076

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Least Common Multiple of 11116 and 11122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11116 and 11122, than apply into the LCM equation.

GCF(11116,11122) = 2
LCM(11116,11122) = ( 11116 × 11122) / 2
LCM(11116,11122) = 123632152 / 2
LCM(11116,11122) = 61816076

Least Common Multiple (LCM) of 11116 and 11122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11116 and 11122. First we will calculate the prime factors of 11116 and 11122.

Prime Factorization of 11116

Prime factors of 11116 are 2, 7, 397. Prime factorization of 11116 in exponential form is:

11116 = 22 × 71 × 3971

Prime Factorization of 11122

Prime factors of 11122 are 2, 67, 83. Prime factorization of 11122 in exponential form is:

11122 = 21 × 671 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 11116 and 11122.

LCM(11116,11122) = 22 × 71 × 3971 × 671 × 831
LCM(11116,11122) = 61816076