Least Common Multiple of 8572 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 8572 and 8580 the smallest integer that is 18386940 that is divisible by both numbers.

Least Common Multiple (LCM) of 8572 and 8580 is 18386940.

LCM(8572,8580) = 18386940

LCM of 8572 and 8580

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

LCM of:
and

Least Common Multiple of 8572 and 8580

LCM of 8572 and 8580 is 18386940

Least common multiple can be found by multiplying the highest exponent prime factors of 8572 and 8580. First we will calculate the prime factors of 8572 and 8580.

Prime Factorization of 8572


2 8572
2 4286
2143 2143
1

Prime factors of 8572 are 2,2143. Prime factorization of 8572 in exponential form is:

8572 = 22×21431

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 8572 and 8580.

LCM(8572,8580) = 22×31×51×111×131×21431
LCM(8572,8580) = 18386940

Factors of 8572

List of positive integer factors of 8572 that divides 8572 without a remainder.

1, 2, 4, 2143, 4286, 8572

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 8572 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 8572 and 8580, than apply into the LCM equation.

GCF(8572,8580) = 4
LCM(8572,8580) = ( 8572 × 8580) / 4
LCM(8572,8580) = 73547760 / 4
LCM(8572,8580) = 18386940

Properties of LCM 8572 and 8580

(i) The LCM of 8580 and 8572 is associative

LCM of 8572 and 8580 = LCM of 8580 and 8572

Related Least Common Multiples of 8572

Related Least Common Multiples of 8580

Frequently Asked Questions on LCM of 8572 and 8580

1. What is the LCM of 8572 and 8580?

Answer: LCM of 8572 and 8580 is 18386940.

2. What are the Factors of 8572?

Answer: Factors of 8572 are 1, 2, 4, 2143, 4286, 8572. There are 6 integers that are factors of 8572. The greatest factor of 8572 is 8572.

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 8572 and 8580?

Answer:

Least Common Multiple of 8572 and 8580 = 18386940

Step 1: Find the prime factorization of 8572

8572 = 2 x 2 x 2143

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 = 18386940 = 2 x 2 x 3 x 5 x 11 x 13 x 2143

Step 4: Therefore, the least common multiple of 8572 and 8580 is 18386940.