Least Common Multiple of 3536 and 3542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3536 and 3542 the smallest integer that is 6262256 that is divisible by both numbers.

Least Common Multiple (LCM) of 3536 and 3542 is 6262256.

LCM(3536,3542) = 6262256

LCM of 3536 and 3542

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

LCM of:
and

Least Common Multiple of 3536 and 3542

LCM of 3536 and 3542 is 6262256

Least common multiple can be found by multiplying the highest exponent prime factors of 3536 and 3542. First we will calculate the prime factors of 3536 and 3542.

Prime Factorization of 3536


2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 3536 are 2, 13,17. Prime factorization of 3536 in exponential form is:

3536 = 24×131×171

Prime Factorization of 3542


2 3542
7 1771
11 253
23 23
1

Prime factors of 3542 are 2, 7, 11,23. Prime factorization of 3542 in exponential form is:

3542 = 21×71×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3536 and 3542.

LCM(3536,3542) = 24×71×111×131×171×231
LCM(3536,3542) = 6262256

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536

Factors of 3542

List of positive integer factors of 3542 that divides 3542 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542

Least Common Multiple of 3536 and 3542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3536 and 3542, than apply into the LCM equation.

GCF(3536,3542) = 2
LCM(3536,3542) = ( 3536 × 3542) / 2
LCM(3536,3542) = 12524512 / 2
LCM(3536,3542) = 6262256

Properties of LCM 3536 and 3542

(i) The LCM of 3542 and 3536 is associative

LCM of 3536 and 3542 = LCM of 3542 and 3536

Related Least Common Multiples of 3536

Related Least Common Multiples of 3542

Frequently Asked Questions on LCM of 3536 and 3542

1. What is the LCM of 3536 and 3542?

Answer: LCM of 3536 and 3542 is 6262256.

2. What are the Factors of 3536?

Answer: Factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536. There are 20 integers that are factors of 3536. The greatest factor of 3536 is 3536.

3. What are the Factors of 3542?

Answer: Factors of 3542 are 1, 2, 7, 11, 14, 22, 23, 46, 77, 154, 161, 253, 322, 506, 1771, 3542. There are 16 integers that are factors of 3542. The greatest factor of 3542 is 3542.

4. How to Find the LCM of 3536 and 3542?

Answer:

Least Common Multiple of 3536 and 3542 = 6262256

Step 1: Find the prime factorization of 3536

3536 = 2 x 2 x 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 3542

3542 = 2 x 7 x 11 x 23

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

LCM = 6262256 = 2 x 2 x 2 x 2 x 7 x 11 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 3536 and 3542 is 6262256.