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What is the Least Common Multiple of 55299 and 55310?

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 55299 and 55310 is 3058587690.

LCM(55299,55310) = 3058587690

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Least Common Multiple of 55299 and 55310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55299 and 55310, than apply into the LCM equation.

GCF(55299,55310) = 1
LCM(55299,55310) = ( 55299 × 55310) / 1
LCM(55299,55310) = 3058587690 / 1
LCM(55299,55310) = 3058587690

Least Common Multiple (LCM) of 55299 and 55310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55299 and 55310. First we will calculate the prime factors of 55299 and 55310.

Prime Factorization of 55299

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

55299 = 31 × 184331

Prime Factorization of 55310

Prime factors of 55310 are 2, 5, 5531. Prime factorization of 55310 in exponential form is:

55310 = 21 × 51 × 55311

Now multiplying the highest exponent prime factors to calculate the LCM of 55299 and 55310.

LCM(55299,55310) = 31 × 184331 × 21 × 51 × 55311
LCM(55299,55310) = 3058587690