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What is the Least Common Multiple of 55311 and 55326?

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 55311 and 55326 is 1020045462.

LCM(55311,55326) = 1020045462

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Least Common Multiple of 55311 and 55326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55311 and 55326, than apply into the LCM equation.

GCF(55311,55326) = 3
LCM(55311,55326) = ( 55311 × 55326) / 3
LCM(55311,55326) = 3060136386 / 3
LCM(55311,55326) = 1020045462

Least Common Multiple (LCM) of 55311 and 55326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55311 and 55326. First we will calculate the prime factors of 55311 and 55326.

Prime Factorization of 55311

Prime factors of 55311 are 3, 103, 179. Prime factorization of 55311 in exponential form is:

55311 = 31 × 1031 × 1791

Prime Factorization of 55326

Prime factors of 55326 are 2, 3, 9221. Prime factorization of 55326 in exponential form is:

55326 = 21 × 31 × 92211

Now multiplying the highest exponent prime factors to calculate the LCM of 55311 and 55326.

LCM(55311,55326) = 31 × 1031 × 1791 × 21 × 92211
LCM(55311,55326) = 1020045462