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What is the Least Common Multiple of 55087 and 55093?

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 55087 and 55093 is 3034908091.

LCM(55087,55093) = 3034908091

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Least Common Multiple of 55087 and 55093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55087 and 55093, than apply into the LCM equation.

GCF(55087,55093) = 1
LCM(55087,55093) = ( 55087 × 55093) / 1
LCM(55087,55093) = 3034908091 / 1
LCM(55087,55093) = 3034908091

Least Common Multiple (LCM) of 55087 and 55093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55087 and 55093. First we will calculate the prime factors of 55087 and 55093.

Prime Factorization of 55087

Prime factors of 55087 are 31, 1777. Prime factorization of 55087 in exponential form is:

55087 = 311 × 17771

Prime Factorization of 55093

Prime factors of 55093 are 37, 1489. Prime factorization of 55093 in exponential form is:

55093 = 371 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 55087 and 55093.

LCM(55087,55093) = 311 × 17771 × 371 × 14891
LCM(55087,55093) = 3034908091