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What is the Least Common Multiple of 45333 and 45345?

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 45333 and 45345 is 685208295.

LCM(45333,45345) = 685208295

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Least Common Multiple of 45333 and 45345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45333 and 45345, than apply into the LCM equation.

GCF(45333,45345) = 3
LCM(45333,45345) = ( 45333 × 45345) / 3
LCM(45333,45345) = 2055624885 / 3
LCM(45333,45345) = 685208295

Least Common Multiple (LCM) of 45333 and 45345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45333 and 45345. First we will calculate the prime factors of 45333 and 45345.

Prime Factorization of 45333

Prime factors of 45333 are 3, 23, 73. Prime factorization of 45333 in exponential form is:

45333 = 33 × 231 × 731

Prime Factorization of 45345

Prime factors of 45345 are 3, 5, 3023. Prime factorization of 45345 in exponential form is:

45345 = 31 × 51 × 30231

Now multiplying the highest exponent prime factors to calculate the LCM of 45333 and 45345.

LCM(45333,45345) = 33 × 231 × 731 × 51 × 30231
LCM(45333,45345) = 685208295