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What is the Least Common Multiple of 55300 and 55311?

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 55300 and 55311 is 3058698300.

LCM(55300,55311) = 3058698300

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Least Common Multiple of 55300 and 55311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55300 and 55311, than apply into the LCM equation.

GCF(55300,55311) = 1
LCM(55300,55311) = ( 55300 × 55311) / 1
LCM(55300,55311) = 3058698300 / 1
LCM(55300,55311) = 3058698300

Least Common Multiple (LCM) of 55300 and 55311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55300 and 55311. First we will calculate the prime factors of 55300 and 55311.

Prime Factorization of 55300

Prime factors of 55300 are 2, 5, 7, 79. Prime factorization of 55300 in exponential form is:

55300 = 22 × 52 × 71 × 791

Prime Factorization of 55311

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

55311 = 31 × 1031 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 55300 and 55311.

LCM(55300,55311) = 22 × 52 × 71 × 791 × 31 × 1031 × 1791
LCM(55300,55311) = 3058698300