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What is the Least Common Multiple of 55289 and 55304?

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 55304 is 3057702856.

LCM(55289,55304) = 3057702856

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Least Common Multiple of 55289 and 55304 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 55304, than apply into the LCM equation.

GCF(55289,55304) = 1
LCM(55289,55304) = ( 55289 × 55304) / 1
LCM(55289,55304) = 3057702856 / 1
LCM(55289,55304) = 3057702856

Least Common Multiple (LCM) of 55289 and 55304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55289 and 55304. First we will calculate the prime factors of 55289 and 55304.

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 55304

Prime factors of 55304 are 2, 31, 223. Prime factorization of 55304 in exponential form is:

55304 = 23 × 311 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 55289 and 55304.

LCM(55289,55304) = 131 × 42531 × 23 × 311 × 2231
LCM(55289,55304) = 3057702856