Least Common Multiple of 8574 and 8580

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 8580 the smallest integer that is 12260820 that is divisible by both numbers.

Least Common Multiple (LCM) of 8574 and 8580 is 12260820.

LCM(8574,8580) = 12260820

LCM of 8574 and 8580

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

LCM of:
and

Least Common Multiple of 8574 and 8580

LCM of 8574 and 8580 is 12260820

Least common multiple can be found by multiplying the highest exponent prime factors of 8574 and 8580. First we will calculate the prime factors of 8574 and 8580.

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 8580


2 8580
2 4290
3 2145
5 715
11 143
13 13
1

Prime factors of 8580 are 2, 3, 5, 11,13. Prime factorization of 8580 in exponential form is:

8580 = 22×31×51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8574 and 8580.

LCM(8574,8580) = 22×31×51×111×131×14291
LCM(8574,8580) = 12260820

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 8580

List of positive integer factors of 8580 that divides 8580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580

Least Common Multiple of 8574 and 8580 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 8580, than apply into the LCM equation.

GCF(8574,8580) = 6
LCM(8574,8580) = ( 8574 × 8580) / 6
LCM(8574,8580) = 73564920 / 6
LCM(8574,8580) = 12260820

Properties of LCM 8574 and 8580

(i) The LCM of 8580 and 8574 is associative

LCM of 8574 and 8580 = LCM of 8580 and 8574

Related Least Common Multiples of 8574

Related Least Common Multiples of 8580

Frequently Asked Questions on LCM of 8574 and 8580

1. What is the LCM of 8574 and 8580?

Answer: LCM of 8574 and 8580 is 12260820.

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 8580?

Answer: Factors of 8580 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 13, 15, 20, 22, 26, 30, 33, 39, 44, 52, 55, 60, 65, 66, 78, 110, 130, 132, 143, 156, 165, 195, 220, 260, 286, 330, 390, 429, 572, 660, 715, 780, 858, 1430, 1716, 2145, 2860, 4290, 8580. There are 48 integers that are factors of 8580. The greatest factor of 8580 is 8580.

4. How to Find the LCM of 8574 and 8580?

Answer:

Least Common Multiple of 8574 and 8580 = 12260820

Step 1: Find the prime factorization of 8574

8574 = 2 x 3 x 1429

Step 2: Find the prime factorization of 8580

8580 = 2 x 2 x 3 x 5 x 11 x 13

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

LCM = 12260820 = 2 x 2 x 3 x 5 x 11 x 13 x 1429

Step 4: Therefore, the least common multiple of 8574 and 8580 is 12260820.