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What is the Least Common Multiple of 48866 and 48873?

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 48866 and 48873 is 2388228018.

LCM(48866,48873) = 2388228018

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Least Common Multiple of 48866 and 48873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48866 and 48873, than apply into the LCM equation.

GCF(48866,48873) = 1
LCM(48866,48873) = ( 48866 × 48873) / 1
LCM(48866,48873) = 2388228018 / 1
LCM(48866,48873) = 2388228018

Least Common Multiple (LCM) of 48866 and 48873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48866 and 48873. First we will calculate the prime factors of 48866 and 48873.

Prime Factorization of 48866

Prime factors of 48866 are 2, 53, 461. Prime factorization of 48866 in exponential form is:

48866 = 21 × 531 × 4611

Prime Factorization of 48873

Prime factors of 48873 are 3, 11, 1481. Prime factorization of 48873 in exponential form is:

48873 = 31 × 111 × 14811

Now multiplying the highest exponent prime factors to calculate the LCM of 48866 and 48873.

LCM(48866,48873) = 21 × 531 × 4611 × 31 × 111 × 14811
LCM(48866,48873) = 2388228018