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What is the Least Common Multiple of 55283 and 55295?

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 55283 and 55295 is 3056873485.

LCM(55283,55295) = 3056873485

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Least Common Multiple of 55283 and 55295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55283 and 55295, than apply into the LCM equation.

GCF(55283,55295) = 1
LCM(55283,55295) = ( 55283 × 55295) / 1
LCM(55283,55295) = 3056873485 / 1
LCM(55283,55295) = 3056873485

Least Common Multiple (LCM) of 55283 and 55295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55283 and 55295. First we will calculate the prime factors of 55283 and 55295.

Prime Factorization of 55283

Prime factors of 55283 are 59, 937. Prime factorization of 55283 in exponential form is:

55283 = 591 × 9371

Prime Factorization of 55295

Prime factors of 55295 are 5, 11059. Prime factorization of 55295 in exponential form is:

55295 = 51 × 110591

Now multiplying the highest exponent prime factors to calculate the LCM of 55283 and 55295.

LCM(55283,55295) = 591 × 9371 × 51 × 110591
LCM(55283,55295) = 3056873485