What is the Least Common Multiple of 5780 and 5800?

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 of 5780 and 5800 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 5800, than apply into the LCM equation.

GCF(5780,5800) = 20
LCM(5780,5800) = ( 5780 × 5800) / 20
LCM(5780,5800) = 33524000 / 20
LCM(5780,5800) = 1676200

Least Common Multiple (LCM) of 5780 and 5800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5780 and 5800. First we will calculate the prime factors of 5780 and 5800.

Prime Factorization of 5780

Prime Factorization of 5800

Now multiplying the highest exponent prime factors to calculate the LCM of 5780 and 5800.

LCM(5780,5800) = 2³ × 5² × 17² × 29¹
LCM(5780,5800) = 1676200