Least Common Multiple of 3556 and 3562

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 3562 the smallest integer that is 6333236 that is divisible by both numbers.

Least Common Multiple (LCM) of 3556 and 3562 is 6333236.

LCM(3556,3562) = 6333236

LCM of 3556 and 3562

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

LCM of:
and

Least Common Multiple of 3556 and 3562

LCM of 3556 and 3562 is 6333236

Least common multiple can be found by multiplying the highest exponent prime factors of 3556 and 3562. First we will calculate the prime factors of 3556 and 3562.

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 3562


2 3562
13 1781
137 137
1

Prime factors of 3562 are 2, 13,137. Prime factorization of 3562 in exponential form is:

3562 = 21×131×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3556 and 3562.

LCM(3556,3562) = 22×71×131×1271×1371
LCM(3556,3562) = 6333236

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 3562

List of positive integer factors of 3562 that divides 3562 without a remainder.

1, 2, 13, 26, 137, 274, 1781, 3562

Least Common Multiple of 3556 and 3562 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 3562, than apply into the LCM equation.

GCF(3556,3562) = 2
LCM(3556,3562) = ( 3556 × 3562) / 2
LCM(3556,3562) = 12666472 / 2
LCM(3556,3562) = 6333236

Properties of LCM 3556 and 3562

(i) The LCM of 3562 and 3556 is associative

LCM of 3556 and 3562 = LCM of 3562 and 3556

Related Least Common Multiples of 3556

Related Least Common Multiples of 3562

Frequently Asked Questions on LCM of 3556 and 3562

1. What is the LCM of 3556 and 3562?

Answer: LCM of 3556 and 3562 is 6333236.

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 3562?

Answer: Factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562. There are 8 integers that are factors of 3562. The greatest factor of 3562 is 3562.

4. How to Find the LCM of 3556 and 3562?

Answer:

Least Common Multiple of 3556 and 3562 = 6333236

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3562

3562 = 2 x 13 x 137

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

LCM = 6333236 = 2 x 2 x 7 x 13 x 127 x 137

Step 4: Therefore, the least common multiple of 3556 and 3562 is 6333236.