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What is the Least Common Multiple of 5780 and 5788?

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 5780 and 5788 is 8363660.

LCM(5780,5788) = 8363660

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Least Common Multiple of 5780 and 5788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5780 and 5788, than apply into the LCM equation.

GCF(5780,5788) = 4
LCM(5780,5788) = ( 5780 × 5788) / 4
LCM(5780,5788) = 33454640 / 4
LCM(5780,5788) = 8363660

Least Common Multiple (LCM) of 5780 and 5788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5780 and 5788. First we will calculate the prime factors of 5780 and 5788.

Prime Factorization of 5780

Prime factors of 5780 are 2, 5, 17. Prime factorization of 5780 in exponential form is:

5780 = 22 × 51 × 172

Prime Factorization of 5788

Prime factors of 5788 are 2, 1447. Prime factorization of 5788 in exponential form is:

5788 = 22 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 5780 and 5788.

LCM(5780,5788) = 22 × 51 × 172 × 14471
LCM(5780,5788) = 8363660