Least Common Multiple of 3556 and 3564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3556 and 3564 the smallest integer that is 3168396 that is divisible by both numbers.

Least Common Multiple (LCM) of 3556 and 3564 is 3168396.

LCM(3556,3564) = 3168396

LCM of 3556 and 3564

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

LCM of:
and

Least Common Multiple of 3556 and 3564

LCM of 3556 and 3564 is 3168396

Least common multiple can be found by multiplying the highest exponent prime factors of 3556 and 3564. First we will calculate the prime factors of 3556 and 3564.

Prime Factorization of 3556


2 3556
2 1778
7 889
127 127
1

Prime factors of 3556 are 2, 7,127. Prime factorization of 3556 in exponential form is:

3556 = 22×71×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3556 and 3564.

LCM(3556,3564) = 22×34×71×111×1271
LCM(3556,3564) = 3168396

Factors of 3556

List of positive integer factors of 3556 that divides 3556 without a remainder.

1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556

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

Least Common Multiple of 3556 and 3564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3556 and 3564, than apply into the LCM equation.

GCF(3556,3564) = 4
LCM(3556,3564) = ( 3556 × 3564) / 4
LCM(3556,3564) = 12673584 / 4
LCM(3556,3564) = 3168396

Properties of LCM 3556 and 3564

(i) The LCM of 3564 and 3556 is associative

LCM of 3556 and 3564 = LCM of 3564 and 3556

Related Least Common Multiples of 3556

Related Least Common Multiples of 3564

Frequently Asked Questions on LCM of 3556 and 3564

1. What is the LCM of 3556 and 3564?

Answer: LCM of 3556 and 3564 is 3168396.

2. What are the Factors of 3556?

Answer: Factors of 3556 are 1, 2, 4, 7, 14, 28, 127, 254, 508, 889, 1778, 3556. There are 12 integers that are factors of 3556. The greatest factor of 3556 is 3556.

3. 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.

4. How to Find the LCM of 3556 and 3564?

Answer:

Least Common Multiple of 3556 and 3564 = 3168396

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3564

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

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

LCM = 3168396 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 3556 and 3564 is 3168396.