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What is the Least Common Multiple of 11116 and 11125?

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 11125 is 123665500.

LCM(11116,11125) = 123665500

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Least Common Multiple of 11116 and 11125 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 11125, than apply into the LCM equation.

GCF(11116,11125) = 1
LCM(11116,11125) = ( 11116 × 11125) / 1
LCM(11116,11125) = 123665500 / 1
LCM(11116,11125) = 123665500

Least Common Multiple (LCM) of 11116 and 11125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11116 and 11125. First we will calculate the prime factors of 11116 and 11125.

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 11125

Prime factors of 11125 are 5, 89. Prime factorization of 11125 in exponential form is:

11125 = 53 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 11116 and 11125.

LCM(11116,11125) = 22 × 71 × 3971 × 53 × 891
LCM(11116,11125) = 123665500