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What is the Least Common Multiple of 11178 and 11185?

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 11178 and 11185 is 125025930.

LCM(11178,11185) = 125025930

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Least Common Multiple of 11178 and 11185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11178 and 11185, than apply into the LCM equation.

GCF(11178,11185) = 1
LCM(11178,11185) = ( 11178 × 11185) / 1
LCM(11178,11185) = 125025930 / 1
LCM(11178,11185) = 125025930

Least Common Multiple (LCM) of 11178 and 11185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11178 and 11185. First we will calculate the prime factors of 11178 and 11185.

Prime Factorization of 11178

Prime factors of 11178 are 2, 3, 23. Prime factorization of 11178 in exponential form is:

11178 = 21 × 35 × 231

Prime Factorization of 11185

Prime factors of 11185 are 5, 2237. Prime factorization of 11185 in exponential form is:

11185 = 51 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 11178 and 11185.

LCM(11178,11185) = 21 × 35 × 231 × 51 × 22371
LCM(11178,11185) = 125025930