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What is the Least Common Multiple of 48851 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 48851 and 48866 is 2387152966.

LCM(48851,48866) = 2387152966

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Least Common Multiple of 48851 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 48851 and 48866, than apply into the LCM equation.

GCF(48851,48866) = 1
LCM(48851,48866) = ( 48851 × 48866) / 1
LCM(48851,48866) = 2387152966 / 1
LCM(48851,48866) = 2387152966

Least Common Multiple (LCM) of 48851 and 48866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48851 and 48866. First we will calculate the prime factors of 48851 and 48866.

Prime Factorization of 48851

Prime factors of 48851 are 11, 4441. Prime factorization of 48851 in exponential form is:

48851 = 111 × 44411

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 48851 and 48866.

LCM(48851,48866) = 111 × 44411 × 21 × 531 × 4611
LCM(48851,48866) = 2387152966