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What is the Least Common Multiple of 55323 and 55338?

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 55338 is 1020488058.

LCM(55323,55338) = 1020488058

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Least Common Multiple of 55323 and 55338 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 55338, than apply into the LCM equation.

GCF(55323,55338) = 3
LCM(55323,55338) = ( 55323 × 55338) / 3
LCM(55323,55338) = 3061464174 / 3
LCM(55323,55338) = 1020488058

Least Common Multiple (LCM) of 55323 and 55338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55323 and 55338. First we will calculate the prime factors of 55323 and 55338.

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 55338

Prime factors of 55338 are 2, 3, 23, 401. Prime factorization of 55338 in exponential form is:

55338 = 21 × 31 × 231 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 55323 and 55338.

LCM(55323,55338) = 34 × 6831 × 21 × 231 × 4011
LCM(55323,55338) = 1020488058