What is the Least Common Multiple of 5724 and 5744?

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 5724 and 5744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5724 and 5744, than apply into the LCM equation.

GCF(5724,5744) = 4
LCM(5724,5744) = ( 5724 × 5744) / 4
LCM(5724,5744) = 32878656 / 4
LCM(5724,5744) = 8219664

Least Common Multiple (LCM) of 5724 and 5744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5724 and 5744. First we will calculate the prime factors of 5724 and 5744.

Prime Factorization of 5724

Prime Factorization of 5744

Now multiplying the highest exponent prime factors to calculate the LCM of 5724 and 5744.

LCM(5724,5744) = 2⁴ × 3³ × 53¹ × 359¹
LCM(5724,5744) = 8219664