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What is the Least Common Multiple of 48853 and 48866?

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 48853 and 48866 is 2387250698.

LCM(48853,48866) = 2387250698

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Least Common Multiple of 48853 and 48866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48853 and 48866, than apply into the LCM equation.

GCF(48853,48866) = 1
LCM(48853,48866) = ( 48853 × 48866) / 1
LCM(48853,48866) = 2387250698 / 1
LCM(48853,48866) = 2387250698

Least Common Multiple (LCM) of 48853 and 48866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48853 and 48866. First we will calculate the prime factors of 48853 and 48866.

Prime Factorization of 48853

Prime factors of 48853 are 7, 997. Prime factorization of 48853 in exponential form is:

48853 = 72 × 9971

Prime Factorization of 48866

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

48866 = 21 × 531 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 48853 and 48866.

LCM(48853,48866) = 72 × 9971 × 21 × 531 × 4611
LCM(48853,48866) = 2387250698