Least Common Multiple of 3556 and 3558

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 3558 the smallest integer that is 6326124 that is divisible by both numbers.

Least Common Multiple (LCM) of 3556 and 3558 is 6326124.

LCM(3556,3558) = 6326124

LCM of 3556 and 3558

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

LCM of:
and

Least Common Multiple of 3556 and 3558

LCM of 3556 and 3558 is 6326124

Least common multiple can be found by multiplying the highest exponent prime factors of 3556 and 3558. First we will calculate the prime factors of 3556 and 3558.

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 3558


2 3558
3 1779
593 593
1

Prime factors of 3558 are 2, 3,593. Prime factorization of 3558 in exponential form is:

3558 = 21×31×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 3556 and 3558.

LCM(3556,3558) = 22×31×71×1271×5931
LCM(3556,3558) = 6326124

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 3558

List of positive integer factors of 3558 that divides 3558 without a remainder.

1, 2, 3, 6, 593, 1186, 1779, 3558

Least Common Multiple of 3556 and 3558 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 3558, than apply into the LCM equation.

GCF(3556,3558) = 2
LCM(3556,3558) = ( 3556 × 3558) / 2
LCM(3556,3558) = 12652248 / 2
LCM(3556,3558) = 6326124

Properties of LCM 3556 and 3558

(i) The LCM of 3558 and 3556 is associative

LCM of 3556 and 3558 = LCM of 3558 and 3556

Related Least Common Multiples of 3556

Related Least Common Multiples of 3558

Frequently Asked Questions on LCM of 3556 and 3558

1. What is the LCM of 3556 and 3558?

Answer: LCM of 3556 and 3558 is 6326124.

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 3558?

Answer: Factors of 3558 are 1, 2, 3, 6, 593, 1186, 1779, 3558. There are 8 integers that are factors of 3558. The greatest factor of 3558 is 3558.

4. How to Find the LCM of 3556 and 3558?

Answer:

Least Common Multiple of 3556 and 3558 = 6326124

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3558

3558 = 2 x 3 x 593

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

LCM = 6326124 = 2 x 2 x 3 x 7 x 127 x 593

Step 4: Therefore, the least common multiple of 3556 and 3558 is 6326124.