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What is the Least Common Multiple of 55293 and 55313?

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 55293 and 55313 is 3058421709.

LCM(55293,55313) = 3058421709

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Least Common Multiple of 55293 and 55313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55293 and 55313, than apply into the LCM equation.

GCF(55293,55313) = 1
LCM(55293,55313) = ( 55293 × 55313) / 1
LCM(55293,55313) = 3058421709 / 1
LCM(55293,55313) = 3058421709

Least Common Multiple (LCM) of 55293 and 55313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55293 and 55313. First we will calculate the prime factors of 55293 and 55313.

Prime Factorization of 55293

Prime factors of 55293 are 3, 7, 2633. Prime factorization of 55293 in exponential form is:

55293 = 31 × 71 × 26331

Prime Factorization of 55313

Prime factors of 55313 are 55313. Prime factorization of 55313 in exponential form is:

55313 = 553131

Now multiplying the highest exponent prime factors to calculate the LCM of 55293 and 55313.

LCM(55293,55313) = 31 × 71 × 26331 × 553131
LCM(55293,55313) = 3058421709