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What is the Least Common Multiple of 44866 and 44886?

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 44866 and 44886 is 1006927638.

LCM(44866,44886) = 1006927638

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Least Common Multiple of 44866 and 44886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44866 and 44886, than apply into the LCM equation.

GCF(44866,44886) = 2
LCM(44866,44886) = ( 44866 × 44886) / 2
LCM(44866,44886) = 2013855276 / 2
LCM(44866,44886) = 1006927638

Least Common Multiple (LCM) of 44866 and 44886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44866 and 44886. First we will calculate the prime factors of 44866 and 44886.

Prime Factorization of 44866

Prime factors of 44866 are 2, 22433. Prime factorization of 44866 in exponential form is:

44866 = 21 × 224331

Prime Factorization of 44886

Prime factors of 44886 are 2, 3, 7481. Prime factorization of 44886 in exponential form is:

44886 = 21 × 31 × 74811

Now multiplying the highest exponent prime factors to calculate the LCM of 44866 and 44886.

LCM(44866,44886) = 21 × 224331 × 31 × 74811
LCM(44866,44886) = 1006927638