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What is the Least Common Multiple of 45375 and 45382?

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 45375 and 45382 is 2059208250.

LCM(45375,45382) = 2059208250

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Least Common Multiple of 45375 and 45382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45375 and 45382, than apply into the LCM equation.

GCF(45375,45382) = 1
LCM(45375,45382) = ( 45375 × 45382) / 1
LCM(45375,45382) = 2059208250 / 1
LCM(45375,45382) = 2059208250

Least Common Multiple (LCM) of 45375 and 45382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45375 and 45382. First we will calculate the prime factors of 45375 and 45382.

Prime Factorization of 45375

Prime factors of 45375 are 3, 5, 11. Prime factorization of 45375 in exponential form is:

45375 = 31 × 53 × 112

Prime Factorization of 45382

Prime factors of 45382 are 2, 22691. Prime factorization of 45382 in exponential form is:

45382 = 21 × 226911

Now multiplying the highest exponent prime factors to calculate the LCM of 45375 and 45382.

LCM(45375,45382) = 31 × 53 × 112 × 21 × 226911
LCM(45375,45382) = 2059208250