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What is the Least Common Multiple of 5782 and 5790?

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 5782 and 5790 is 16738890.

LCM(5782,5790) = 16738890

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Least Common Multiple of 5782 and 5790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5782 and 5790, than apply into the LCM equation.

GCF(5782,5790) = 2
LCM(5782,5790) = ( 5782 × 5790) / 2
LCM(5782,5790) = 33477780 / 2
LCM(5782,5790) = 16738890

Least Common Multiple (LCM) of 5782 and 5790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5782 and 5790. First we will calculate the prime factors of 5782 and 5790.

Prime Factorization of 5782

Prime factors of 5782 are 2, 7, 59. Prime factorization of 5782 in exponential form is:

5782 = 21 × 72 × 591

Prime Factorization of 5790

Prime factors of 5790 are 2, 3, 5, 193. Prime factorization of 5790 in exponential form is:

5790 = 21 × 31 × 51 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 5782 and 5790.

LCM(5782,5790) = 21 × 72 × 591 × 31 × 51 × 1931
LCM(5782,5790) = 16738890