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What is the Least Common Multiple of 55323 and 55335?

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 55323 and 55335 is 1020432735.

LCM(55323,55335) = 1020432735

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Least Common Multiple of 55323 and 55335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55323 and 55335, than apply into the LCM equation.

GCF(55323,55335) = 3
LCM(55323,55335) = ( 55323 × 55335) / 3
LCM(55323,55335) = 3061298205 / 3
LCM(55323,55335) = 1020432735

Least Common Multiple (LCM) of 55323 and 55335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55323 and 55335. First we will calculate the prime factors of 55323 and 55335.

Prime Factorization of 55323

Prime factors of 55323 are 3, 683. Prime factorization of 55323 in exponential form is:

55323 = 34 × 6831

Prime Factorization of 55335

Prime factors of 55335 are 3, 5, 7, 17, 31. Prime factorization of 55335 in exponential form is:

55335 = 31 × 51 × 71 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 55323 and 55335.

LCM(55323,55335) = 34 × 6831 × 51 × 71 × 171 × 311
LCM(55323,55335) = 1020432735