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What is the Least Common Multiple of 55073 and 55083?

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 55073 and 55083 is 3033586059.

LCM(55073,55083) = 3033586059

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Least Common Multiple of 55073 and 55083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55073 and 55083, than apply into the LCM equation.

GCF(55073,55083) = 1
LCM(55073,55083) = ( 55073 × 55083) / 1
LCM(55073,55083) = 3033586059 / 1
LCM(55073,55083) = 3033586059

Least Common Multiple (LCM) of 55073 and 55083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55073 and 55083. First we will calculate the prime factors of 55073 and 55083.

Prime Factorization of 55073

Prime factors of 55073 are 55073. Prime factorization of 55073 in exponential form is:

55073 = 550731

Prime Factorization of 55083

Prime factors of 55083 are 3, 7, 43, 61. Prime factorization of 55083 in exponential form is:

55083 = 31 × 71 × 431 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 55073 and 55083.

LCM(55073,55083) = 550731 × 31 × 71 × 431 × 611
LCM(55073,55083) = 3033586059