What is the Least Common Multiple of 5775 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 of 5775 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 5775 and 5780, than apply into the LCM equation.

GCF(5775,5780) = 5
LCM(5775,5780) = ( 5775 × 5780) / 5
LCM(5775,5780) = 33379500 / 5
LCM(5775,5780) = 6675900

Least Common Multiple (LCM) of 5775 and 5780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5775 and 5780. First we will calculate the prime factors of 5775 and 5780.

Prime Factorization of 5775

Prime Factorization of 5780

Now multiplying the highest exponent prime factors to calculate the LCM of 5775 and 5780.

LCM(5775,5780) = 3¹ × 5² × 7¹ × 11¹ × 2² × 17²
LCM(5775,5780) = 6675900