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What is the Least Common Multiple of 55188 and 55193?

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 55188 and 55193 is 3045991284.

LCM(55188,55193) = 3045991284

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Least Common Multiple of 55188 and 55193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55188 and 55193, than apply into the LCM equation.

GCF(55188,55193) = 1
LCM(55188,55193) = ( 55188 × 55193) / 1
LCM(55188,55193) = 3045991284 / 1
LCM(55188,55193) = 3045991284

Least Common Multiple (LCM) of 55188 and 55193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55188 and 55193. First we will calculate the prime factors of 55188 and 55193.

Prime Factorization of 55188

Prime factors of 55188 are 2, 3, 7, 73. Prime factorization of 55188 in exponential form is:

55188 = 22 × 33 × 71 × 731

Prime Factorization of 55193

Prime factors of 55193 are 97, 569. Prime factorization of 55193 in exponential form is:

55193 = 971 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 55188 and 55193.

LCM(55188,55193) = 22 × 33 × 71 × 731 × 971 × 5691
LCM(55188,55193) = 3045991284