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What is the Least Common Multiple of 5774 and 5780?

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 5774 and 5780 is 16686860.

LCM(5774,5780) = 16686860

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Least Common Multiple of 5774 and 5780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5774 and 5780, than apply into the LCM equation.

GCF(5774,5780) = 2
LCM(5774,5780) = ( 5774 × 5780) / 2
LCM(5774,5780) = 33373720 / 2
LCM(5774,5780) = 16686860

Least Common Multiple (LCM) of 5774 and 5780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5774 and 5780. First we will calculate the prime factors of 5774 and 5780.

Prime Factorization of 5774

Prime factors of 5774 are 2, 2887. Prime factorization of 5774 in exponential form is:

5774 = 21 × 28871

Prime Factorization of 5780

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

5780 = 22 × 51 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 5774 and 5780.

LCM(5774,5780) = 22 × 28871 × 51 × 172
LCM(5774,5780) = 16686860