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What is the Least Common Multiple of 47791 and 47805?

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 47791 and 47805 is 2284648755.

LCM(47791,47805) = 2284648755

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Least Common Multiple of 47791 and 47805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47791 and 47805, than apply into the LCM equation.

GCF(47791,47805) = 1
LCM(47791,47805) = ( 47791 × 47805) / 1
LCM(47791,47805) = 2284648755 / 1
LCM(47791,47805) = 2284648755

Least Common Multiple (LCM) of 47791 and 47805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47791 and 47805. First we will calculate the prime factors of 47791 and 47805.

Prime Factorization of 47791

Prime factors of 47791 are 47791. Prime factorization of 47791 in exponential form is:

47791 = 477911

Prime Factorization of 47805

Prime factors of 47805 are 3, 5, 3187. Prime factorization of 47805 in exponential form is:

47805 = 31 × 51 × 31871

Now multiplying the highest exponent prime factors to calculate the LCM of 47791 and 47805.

LCM(47791,47805) = 477911 × 31 × 51 × 31871
LCM(47791,47805) = 2284648755