Least Common Multiple of 3568 and 3575

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 3575 the smallest integer that is 12755600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3568 and 3575 is 12755600.

LCM(3568,3575) = 12755600

LCM of 3568 and 3575

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

LCM of:
and

Least Common Multiple of 3568 and 3575

LCM of 3568 and 3575 is 12755600

Least common multiple can be found by multiplying the highest exponent prime factors of 3568 and 3575. First we will calculate the prime factors of 3568 and 3575.

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 3575


5 3575
5 715
11 143
13 13
1

Prime factors of 3575 are 5, 11,13. Prime factorization of 3575 in exponential form is:

3575 = 52×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3568 and 3575.

LCM(3568,3575) = 24×52×111×131×2231
LCM(3568,3575) = 12755600

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 3575

List of positive integer factors of 3575 that divides 3575 without a remainder.

1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

Least Common Multiple of 3568 and 3575 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 3575, than apply into the LCM equation.

GCF(3568,3575) = 1
LCM(3568,3575) = ( 3568 × 3575) / 1
LCM(3568,3575) = 12755600 / 1
LCM(3568,3575) = 12755600

Properties of LCM 3568 and 3575

(i) The LCM of 3575 and 3568 is associative

LCM of 3568 and 3575 = LCM of 3575 and 3568

Related Least Common Multiples of 3568

Related Least Common Multiples of 3575

Frequently Asked Questions on LCM of 3568 and 3575

1. What is the LCM of 3568 and 3575?

Answer: LCM of 3568 and 3575 is 12755600.

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 3575?

Answer: Factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575. There are 12 integers that are factors of 3575. The greatest factor of 3575 is 3575.

4. How to Find the LCM of 3568 and 3575?

Answer:

Least Common Multiple of 3568 and 3575 = 12755600

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 3575

3575 = 5 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 = 12755600 = 2 x 2 x 2 x 2 x 5 x 5 x 11 x 13 x 223

Step 4: Therefore, the least common multiple of 3568 and 3575 is 12755600.