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What is the Least Common Multiple of 55289 and 55299?

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 55289 and 55299 is 3057426411.

LCM(55289,55299) = 3057426411

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Least Common Multiple of 55289 and 55299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55289 and 55299, than apply into the LCM equation.

GCF(55289,55299) = 1
LCM(55289,55299) = ( 55289 × 55299) / 1
LCM(55289,55299) = 3057426411 / 1
LCM(55289,55299) = 3057426411

Least Common Multiple (LCM) of 55289 and 55299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55289 and 55299. First we will calculate the prime factors of 55289 and 55299.

Prime Factorization of 55289

Prime factors of 55289 are 13, 4253. Prime factorization of 55289 in exponential form is:

55289 = 131 × 42531

Prime Factorization of 55299

Prime factors of 55299 are 3, 18433. Prime factorization of 55299 in exponential form is:

55299 = 31 × 184331

Now multiplying the highest exponent prime factors to calculate the LCM of 55289 and 55299.

LCM(55289,55299) = 131 × 42531 × 31 × 184331
LCM(55289,55299) = 3057426411