What is the Least Common Multiple of 5574 and 5584?

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 5574 and 5584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5574 and 5584, than apply into the LCM equation.

GCF(5574,5584) = 2
LCM(5574,5584) = ( 5574 × 5584) / 2
LCM(5574,5584) = 31125216 / 2
LCM(5574,5584) = 15562608

Least Common Multiple (LCM) of 5574 and 5584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5584. First we will calculate the prime factors of 5574 and 5584.

Prime Factorization of 5574

Prime Factorization of 5584

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5584.

LCM(5574,5584) = 2⁴ × 3¹ × 929¹ × 349¹
LCM(5574,5584) = 15562608