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What is the Least Common Multiple of 44582 and 44600?

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 44582 and 44600 is 994178600.

LCM(44582,44600) = 994178600

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Least Common Multiple of 44582 and 44600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44582 and 44600, than apply into the LCM equation.

GCF(44582,44600) = 2
LCM(44582,44600) = ( 44582 × 44600) / 2
LCM(44582,44600) = 1988357200 / 2
LCM(44582,44600) = 994178600

Least Common Multiple (LCM) of 44582 and 44600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44582 and 44600. First we will calculate the prime factors of 44582 and 44600.

Prime Factorization of 44582

Prime factors of 44582 are 2, 22291. Prime factorization of 44582 in exponential form is:

44582 = 21 × 222911

Prime Factorization of 44600

Prime factors of 44600 are 2, 5, 223. Prime factorization of 44600 in exponential form is:

44600 = 23 × 52 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 44582 and 44600.

LCM(44582,44600) = 23 × 222911 × 52 × 2231
LCM(44582,44600) = 994178600