What is the Least Common Multiple of 5764 and 5783?

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 5764 and 5783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5764 and 5783, than apply into the LCM equation.

GCF(5764,5783) = 1
LCM(5764,5783) = ( 5764 × 5783) / 1
LCM(5764,5783) = 33333212 / 1
LCM(5764,5783) = 33333212

Least Common Multiple (LCM) of 5764 and 5783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5764 and 5783. First we will calculate the prime factors of 5764 and 5783.

Prime Factorization of 5764

Prime Factorization of 5783

Now multiplying the highest exponent prime factors to calculate the LCM of 5764 and 5783.

LCM(5764,5783) = 2² × 11¹ × 131¹ × 5783¹
LCM(5764,5783) = 33333212