Least Common Multiple of 3564 and 3568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3564 and 3568 the smallest integer that is 3179088 that is divisible by both numbers.

Least Common Multiple (LCM) of 3564 and 3568 is 3179088.

LCM(3564,3568) = 3179088

LCM of 3564 and 3568

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

LCM of:
and

Least Common Multiple of 3564 and 3568

LCM of 3564 and 3568 is 3179088

Least common multiple can be found by multiplying the highest exponent prime factors of 3564 and 3568. First we will calculate the prime factors of 3564 and 3568.

Prime Factorization of 3564


2 3564
2 1782
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 3564 are 2, 3,11. Prime factorization of 3564 in exponential form is:

3564 = 22×34×111

Prime Factorization of 3568


2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 3568 are 2,223. Prime factorization of 3568 in exponential form is:

3568 = 24×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 3564 and 3568.

LCM(3564,3568) = 24×34×111×2231
LCM(3564,3568) = 3179088

Factors of 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564

Factors of 3568

List of positive integer factors of 3568 that divides 3568 without a remainder.

1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568

Least Common Multiple of 3564 and 3568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3564 and 3568, than apply into the LCM equation.

GCF(3564,3568) = 4
LCM(3564,3568) = ( 3564 × 3568) / 4
LCM(3564,3568) = 12716352 / 4
LCM(3564,3568) = 3179088

Properties of LCM 3564 and 3568

(i) The LCM of 3568 and 3564 is associative

LCM of 3564 and 3568 = LCM of 3568 and 3564

Related Least Common Multiples of 3564

Related Least Common Multiples of 3568

Frequently Asked Questions on LCM of 3564 and 3568

1. What is the LCM of 3564 and 3568?

Answer: LCM of 3564 and 3568 is 3179088.

2. What are the Factors of 3564?

Answer: Factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564. There are 30 integers that are factors of 3564. The greatest factor of 3564 is 3564.

3. What are the Factors of 3568?

Answer: Factors of 3568 are 1, 2, 4, 8, 16, 223, 446, 892, 1784, 3568. There are 10 integers that are factors of 3568. The greatest factor of 3568 is 3568.

4. How to Find the LCM of 3564 and 3568?

Answer:

Least Common Multiple of 3564 and 3568 = 3179088

Step 1: Find the prime factorization of 3564

3564 = 2 x 2 x 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 3568

3568 = 2 x 2 x 2 x 2 x 223

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

LCM = 3179088 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 223

Step 4: Therefore, the least common multiple of 3564 and 3568 is 3179088.