What is the Least Common Multiple of 5574 and 5582?

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 5582 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 5582, than apply into the LCM equation.

GCF(5574,5582) = 2
LCM(5574,5582) = ( 5574 × 5582) / 2
LCM(5574,5582) = 31114068 / 2
LCM(5574,5582) = 15557034

Least Common Multiple (LCM) of 5574 and 5582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5574 and 5582. First we will calculate the prime factors of 5574 and 5582.

Prime Factorization of 5574

Prime Factorization of 5582

Now multiplying the highest exponent prime factors to calculate the LCM of 5574 and 5582.

LCM(5574,5582) = 2¹ × 3¹ × 929¹ × 2791¹
LCM(5574,5582) = 15557034