What is the Least Common Multiple of 5574 and 5594?

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 5594 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 5594, than apply into the LCM equation.

GCF(5574,5594) = 2
LCM(5574,5594) = ( 5574 × 5594) / 2
LCM(5574,5594) = 31180956 / 2
LCM(5574,5594) = 15590478

Least Common Multiple (LCM) of 5574 and 5594 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5594. First we will calculate the prime factors of 5574 and 5594.

Prime Factorization of 5574

Prime Factorization of 5594

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5594.

LCM(5574,5594) = 2¹ × 3¹ × 929¹ × 2797¹
LCM(5574,5594) = 15590478