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What is the Least Common Multiple of 5770 and 5784?

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 5770 and 5784 is 16686840.

LCM(5770,5784) = 16686840

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Least Common Multiple of 5770 and 5784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5770 and 5784, than apply into the LCM equation.

GCF(5770,5784) = 2
LCM(5770,5784) = ( 5770 × 5784) / 2
LCM(5770,5784) = 33373680 / 2
LCM(5770,5784) = 16686840

Least Common Multiple (LCM) of 5770 and 5784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5770 and 5784. First we will calculate the prime factors of 5770 and 5784.

Prime Factorization of 5770

Prime factors of 5770 are 2, 5, 577. Prime factorization of 5770 in exponential form is:

5770 = 21 × 51 × 5771

Prime Factorization of 5784

Prime factors of 5784 are 2, 3, 241. Prime factorization of 5784 in exponential form is:

5784 = 23 × 31 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 5770 and 5784.

LCM(5770,5784) = 23 × 51 × 5771 × 31 × 2411
LCM(5770,5784) = 16686840