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What is the Least Common Multiple of 55100 and 55111?

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 55100 and 55111 is 3036616100.

LCM(55100,55111) = 3036616100

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Least Common Multiple of 55100 and 55111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55100 and 55111, than apply into the LCM equation.

GCF(55100,55111) = 1
LCM(55100,55111) = ( 55100 × 55111) / 1
LCM(55100,55111) = 3036616100 / 1
LCM(55100,55111) = 3036616100

Least Common Multiple (LCM) of 55100 and 55111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55100 and 55111. First we will calculate the prime factors of 55100 and 55111.

Prime Factorization of 55100

Prime factors of 55100 are 2, 5, 19, 29. Prime factorization of 55100 in exponential form is:

55100 = 22 × 52 × 191 × 291

Prime Factorization of 55111

Prime factors of 55111 are 7, 7873. Prime factorization of 55111 in exponential form is:

55111 = 71 × 78731

Now multiplying the highest exponent prime factors to calculate the LCM of 55100 and 55111.

LCM(55100,55111) = 22 × 52 × 191 × 291 × 71 × 78731
LCM(55100,55111) = 3036616100