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What is the Least Common Multiple of 44467 and 44487?

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 44467 and 44487 is 1978203429.

LCM(44467,44487) = 1978203429

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Least Common Multiple of 44467 and 44487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44467 and 44487, than apply into the LCM equation.

GCF(44467,44487) = 1
LCM(44467,44487) = ( 44467 × 44487) / 1
LCM(44467,44487) = 1978203429 / 1
LCM(44467,44487) = 1978203429

Least Common Multiple (LCM) of 44467 and 44487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44467 and 44487. First we will calculate the prime factors of 44467 and 44487.

Prime Factorization of 44467

Prime factors of 44467 are 53, 839. Prime factorization of 44467 in exponential form is:

44467 = 531 × 8391

Prime Factorization of 44487

Prime factors of 44487 are 3, 4943. Prime factorization of 44487 in exponential form is:

44487 = 32 × 49431

Now multiplying the highest exponent prime factors to calculate the LCM of 44467 and 44487.

LCM(44467,44487) = 531 × 8391 × 32 × 49431
LCM(44467,44487) = 1978203429