What is the Least Common Multiple of 9574 and 9582?

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 9574 and 9582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9574 and 9582, than apply into the LCM equation.

GCF(9574,9582) = 2
LCM(9574,9582) = ( 9574 × 9582) / 2
LCM(9574,9582) = 91738068 / 2
LCM(9574,9582) = 45869034

Least Common Multiple (LCM) of 9574 and 9582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9574 and 9582. First we will calculate the prime factors of 9574 and 9582.

Prime Factorization of 9574

Prime Factorization of 9582

Now multiplying the highest exponent prime factors to calculate the LCM of 9574 and 9582.

LCM(9574,9582) = 2¹ × 4787¹ × 3¹ × 1597¹
LCM(9574,9582) = 45869034