Least Common Multiple of 9574 and 9582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9574 and 9582 the smallest integer that is 45869034 that is divisible by both numbers.

Least Common Multiple (LCM) of 9574 and 9582 is 45869034.

LCM(9574,9582) = 45869034

LCM of 9574 and 9582

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9574 and 9582

LCM of 9574 and 9582 is 45869034

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


2 9574
4787 4787
1

Prime factors of 9574 are 2,4787. Prime factorization of 9574 in exponential form is:

9574 = 21×47871

Prime Factorization of 9582


2 9582
3 4791
1597 1597
1

Prime factors of 9582 are 2, 3,1597. Prime factorization of 9582 in exponential form is:

9582 = 21×31×15971

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

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

Factors of 9574

List of positive integer factors of 9574 that divides 9574 without a remainder.

1, 2, 4787, 9574

Factors of 9582

List of positive integer factors of 9582 that divides 9582 without a remainder.

1, 2, 3, 6, 1597, 3194, 4791, 9582

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

Properties of LCM 9574 and 9582

(i) The LCM of 9582 and 9574 is associative

LCM of 9574 and 9582 = LCM of 9582 and 9574

Related Least Common Multiples of 9574

Related Least Common Multiples of 9582

Frequently Asked Questions on LCM of 9574 and 9582

1. What is the LCM of 9574 and 9582?

Answer: LCM of 9574 and 9582 is 45869034.

2. What are the Factors of 9574?

Answer: Factors of 9574 are 1, 2, 4787, 9574. There are 4 integers that are factors of 9574. The greatest factor of 9574 is 9574.

3. What are the Factors of 9582?

Answer: Factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582. There are 8 integers that are factors of 9582. The greatest factor of 9582 is 9582.

4. How to Find the LCM of 9574 and 9582?

Answer:

Least Common Multiple of 9574 and 9582 = 45869034

Step 1: Find the prime factorization of 9574

9574 = 2 x 4787

Step 2: Find the prime factorization of 9582

9582 = 2 x 3 x 1597

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 45869034 = 2 x 3 x 1597 x 4787

Step 4: Therefore, the least common multiple of 9574 and 9582 is 45869034.