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What is the Least Common Multiple of 48861 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 48861 and 48866 is 2387641626.

LCM(48861,48866) = 2387641626

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Least Common Multiple of 48861 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 48861 and 48866, than apply into the LCM equation.

GCF(48861,48866) = 1
LCM(48861,48866) = ( 48861 × 48866) / 1
LCM(48861,48866) = 2387641626 / 1
LCM(48861,48866) = 2387641626

Least Common Multiple (LCM) of 48861 and 48866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48861 and 48866. First we will calculate the prime factors of 48861 and 48866.

Prime Factorization of 48861

Prime factors of 48861 are 3, 61, 89. Prime factorization of 48861 in exponential form is:

48861 = 32 × 611 × 891

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 48861 and 48866.

LCM(48861,48866) = 32 × 611 × 891 × 21 × 531 × 4611
LCM(48861,48866) = 2387641626