Least Common Multiple of 8574 and 8582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8574 and 8582 the smallest integer that is 36791034 that is divisible by both numbers.

Least Common Multiple (LCM) of 8574 and 8582 is 36791034.

LCM(8574,8582) = 36791034

LCM of 8574 and 8582

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

LCM of:
and

Least Common Multiple of 8574 and 8582

LCM of 8574 and 8582 is 36791034

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8582. First we will calculate the prime factors of 8574 and 8582.

Prime Factorization of 8574


2 8574
3 4287
1429 1429
1

Prime factors of 8574 are 2, 3,1429. Prime factorization of 8574 in exponential form is:

8574 = 21×31×14291

Prime Factorization of 8582


2 8582
7 4291
613 613
1

Prime factors of 8582 are 2, 7,613. Prime factorization of 8582 in exponential form is:

8582 = 21×71×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 8574 and 8582.

LCM(8574,8582) = 21×31×71×6131×14291
LCM(8574,8582) = 36791034

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1, 2, 3, 6, 1429, 2858, 4287, 8574

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1, 2, 7, 14, 613, 1226, 4291, 8582

Least Common Multiple of 8574 and 8582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8574 and 8582, than apply into the LCM equation.

GCF(8574,8582) = 2
LCM(8574,8582) = ( 8574 × 8582) / 2
LCM(8574,8582) = 73582068 / 2
LCM(8574,8582) = 36791034

Properties of LCM 8574 and 8582

(i) The LCM of 8582 and 8574 is associative

LCM of 8574 and 8582 = LCM of 8582 and 8574

Related Least Common Multiples of 8574

Related Least Common Multiples of 8582

Frequently Asked Questions on LCM of 8574 and 8582

1. What is the LCM of 8574 and 8582?

Answer: LCM of 8574 and 8582 is 36791034.

2. What are the Factors of 8574?

Answer: Factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574. There are 8 integers that are factors of 8574. The greatest factor of 8574 is 8574.

3. What are the Factors of 8582?

Answer: Factors of 8582 are 1, 2, 7, 14, 613, 1226, 4291, 8582. There are 8 integers that are factors of 8582. The greatest factor of 8582 is 8582.

4. How to Find the LCM of 8574 and 8582?

Answer:

Least Common Multiple of 8574 and 8582 = 36791034

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

Step 2: Find the prime factorization of 8582

8582 = 2 x 7 x 613

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

LCM = 36791034 = 2 x 3 x 7 x 613 x 1429

Step 4: Therefore, the least common multiple of 8574 and 8582 is 36791034.