What is the Least Common Multiple of 5574 and 5588?

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 5588 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 5588, than apply into the LCM equation.

GCF(5574,5588) = 2
LCM(5574,5588) = ( 5574 × 5588) / 2
LCM(5574,5588) = 31147512 / 2
LCM(5574,5588) = 15573756

Least Common Multiple (LCM) of 5574 and 5588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5588. First we will calculate the prime factors of 5574 and 5588.

Prime Factorization of 5574

Prime Factorization of 5588

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5588.

LCM(5574,5588) = 2² × 3¹ × 929¹ × 11¹ × 127¹
LCM(5574,5588) = 15573756