Least Common Multiple of 3532 and 3536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3532 and 3536 the smallest integer that is 3122288 that is divisible by both numbers.

Least Common Multiple (LCM) of 3532 and 3536 is 3122288.

LCM(3532,3536) = 3122288

LCM of 3532 and 3536

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

LCM of:
and

Least Common Multiple of 3532 and 3536

LCM of 3532 and 3536 is 3122288

Least common multiple can be found by multiplying the highest exponent prime factors of 3532 and 3536. First we will calculate the prime factors of 3532 and 3536.

Prime Factorization of 3532


2 3532
2 1766
883 883
1

Prime factors of 3532 are 2,883. Prime factorization of 3532 in exponential form is:

3532 = 22×8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3532 and 3536.

LCM(3532,3536) = 24×131×171×8831
LCM(3532,3536) = 3122288

Factors of 3532

List of positive integer factors of 3532 that divides 3532 without a remainder.

1, 2, 4, 883, 1766, 3532

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

Least Common Multiple of 3532 and 3536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3532 and 3536, than apply into the LCM equation.

GCF(3532,3536) = 4
LCM(3532,3536) = ( 3532 × 3536) / 4
LCM(3532,3536) = 12489152 / 4
LCM(3532,3536) = 3122288

Properties of LCM 3532 and 3536

(i) The LCM of 3536 and 3532 is associative

LCM of 3532 and 3536 = LCM of 3536 and 3532

Related Least Common Multiples of 3532

Related Least Common Multiples of 3536

Frequently Asked Questions on LCM of 3532 and 3536

1. What is the LCM of 3532 and 3536?

Answer: LCM of 3532 and 3536 is 3122288.

2. What are the Factors of 3532?

Answer: Factors of 3532 are 1, 2, 4, 883, 1766, 3532. There are 6 integers that are factors of 3532. The greatest factor of 3532 is 3532.

3. 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.

4. How to Find the LCM of 3532 and 3536?

Answer:

Least Common Multiple of 3532 and 3536 = 3122288

Step 1: Find the prime factorization of 3532

3532 = 2 x 2 x 883

Step 2: Find the prime factorization of 3536

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

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

LCM = 3122288 = 2 x 2 x 2 x 2 x 13 x 17 x 883

Step 4: Therefore, the least common multiple of 3532 and 3536 is 3122288.