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What is the Least Common Multiple of 45364 and 45371?

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 45364 and 45371 is 2058210044.

LCM(45364,45371) = 2058210044

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Least Common Multiple of 45364 and 45371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45364 and 45371, than apply into the LCM equation.

GCF(45364,45371) = 1
LCM(45364,45371) = ( 45364 × 45371) / 1
LCM(45364,45371) = 2058210044 / 1
LCM(45364,45371) = 2058210044

Least Common Multiple (LCM) of 45364 and 45371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45364 and 45371. First we will calculate the prime factors of 45364 and 45371.

Prime Factorization of 45364

Prime factors of 45364 are 2, 11, 1031. Prime factorization of 45364 in exponential form is:

45364 = 22 × 111 × 10311

Prime Factorization of 45371

Prime factors of 45371 are 59, 769. Prime factorization of 45371 in exponential form is:

45371 = 591 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 45364 and 45371.

LCM(45364,45371) = 22 × 111 × 10311 × 591 × 7691
LCM(45364,45371) = 2058210044