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What is the Least Common Multiple of 11108 and 11114?

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 11108 and 11114 is 61727156.

LCM(11108,11114) = 61727156

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Least Common Multiple of 11108 and 11114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11108 and 11114, than apply into the LCM equation.

GCF(11108,11114) = 2
LCM(11108,11114) = ( 11108 × 11114) / 2
LCM(11108,11114) = 123454312 / 2
LCM(11108,11114) = 61727156

Least Common Multiple (LCM) of 11108 and 11114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11108 and 11114. First we will calculate the prime factors of 11108 and 11114.

Prime Factorization of 11108

Prime factors of 11108 are 2, 2777. Prime factorization of 11108 in exponential form is:

11108 = 22 × 27771

Prime Factorization of 11114

Prime factors of 11114 are 2, 5557. Prime factorization of 11114 in exponential form is:

11114 = 21 × 55571

Now multiplying the highest exponent prime factors to calculate the LCM of 11108 and 11114.

LCM(11108,11114) = 22 × 27771 × 55571
LCM(11108,11114) = 61727156