Least Common Multiple of 3568 and 3576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3568 and 3576 the smallest integer that is 1594896 that is divisible by both numbers.

Least Common Multiple (LCM) of 3568 and 3576 is 1594896.

LCM(3568,3576) = 1594896

LCM of 3568 and 3576

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

LCM of:
and

Least Common Multiple of 3568 and 3576

LCM of 3568 and 3576 is 1594896

Least common multiple can be found by multiplying the highest exponent prime factors of 3568 and 3576. First we will calculate the prime factors of 3568 and 3576.

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

Prime Factorization of 3576


2 3576
2 1788
2 894
3 447
149 149
1

Prime factors of 3576 are 2, 3,149. Prime factorization of 3576 in exponential form is:

3576 = 23×31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 3568 and 3576.

LCM(3568,3576) = 24×31×1491×2231
LCM(3568,3576) = 1594896

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

Factors of 3576

List of positive integer factors of 3576 that divides 3576 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576

Least Common Multiple of 3568 and 3576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3568 and 3576, than apply into the LCM equation.

GCF(3568,3576) = 8
LCM(3568,3576) = ( 3568 × 3576) / 8
LCM(3568,3576) = 12759168 / 8
LCM(3568,3576) = 1594896

Properties of LCM 3568 and 3576

(i) The LCM of 3576 and 3568 is associative

LCM of 3568 and 3576 = LCM of 3576 and 3568

Related Least Common Multiples of 3568

Related Least Common Multiples of 3576

Frequently Asked Questions on LCM of 3568 and 3576

1. What is the LCM of 3568 and 3576?

Answer: LCM of 3568 and 3576 is 1594896.

2. 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.

3. What are the Factors of 3576?

Answer: Factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576. There are 16 integers that are factors of 3576. The greatest factor of 3576 is 3576.

4. How to Find the LCM of 3568 and 3576?

Answer:

Least Common Multiple of 3568 and 3576 = 1594896

Step 1: Find the prime factorization of 3568

3568 = 2 x 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 3576

3576 = 2 x 2 x 2 x 3 x 149

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

LCM = 1594896 = 2 x 2 x 2 x 2 x 3 x 149 x 223

Step 4: Therefore, the least common multiple of 3568 and 3576 is 1594896.