What is the Least Common Multiple of 5364 and 5384?

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 5364 and 5384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5364 and 5384, than apply into the LCM equation.

GCF(5364,5384) = 4
LCM(5364,5384) = ( 5364 × 5384) / 4
LCM(5364,5384) = 28879776 / 4
LCM(5364,5384) = 7219944

Least Common Multiple (LCM) of 5364 and 5384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5364 and 5384. First we will calculate the prime factors of 5364 and 5384.

Prime Factorization of 5364

Prime Factorization of 5384

Now multiplying the highest exponent prime factors to calculate the LCM of 5364 and 5384.

LCM(5364,5384) = 2³ × 3² × 149¹ × 673¹
LCM(5364,5384) = 7219944