Least Common Multiple of 3551 and 3556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3551 and 3556 the smallest integer that is 12627356 that is divisible by both numbers.

Least Common Multiple (LCM) of 3551 and 3556 is 12627356.

LCM(3551,3556) = 12627356

LCM of 3551 and 3556

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

LCM of:
and

Least Common Multiple of 3551 and 3556

LCM of 3551 and 3556 is 12627356

Least common multiple can be found by multiplying the highest exponent prime factors of 3551 and 3556. First we will calculate the prime factors of 3551 and 3556.

Prime Factorization of 3551


53 3551
67 67
1

Prime factors of 3551 are 53,67. Prime factorization of 3551 in exponential form is:

3551 = 531×671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3551 and 3556.

LCM(3551,3556) = 22×71×531×671×1271
LCM(3551,3556) = 12627356

Factors of 3551

List of positive integer factors of 3551 that divides 3551 without a remainder.

1, 53, 67, 3551

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

Least Common Multiple of 3551 and 3556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3551 and 3556, than apply into the LCM equation.

GCF(3551,3556) = 1
LCM(3551,3556) = ( 3551 × 3556) / 1
LCM(3551,3556) = 12627356 / 1
LCM(3551,3556) = 12627356

Properties of LCM 3551 and 3556

(i) The LCM of 3556 and 3551 is associative

LCM of 3551 and 3556 = LCM of 3556 and 3551

Related Least Common Multiples of 3551

Related Least Common Multiples of 3556

Frequently Asked Questions on LCM of 3551 and 3556

1. What is the LCM of 3551 and 3556?

Answer: LCM of 3551 and 3556 is 12627356.

2. What are the Factors of 3551?

Answer: Factors of 3551 are 1, 53, 67, 3551. There are 4 integers that are factors of 3551. The greatest factor of 3551 is 3551.

3. 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.

4. How to Find the LCM of 3551 and 3556?

Answer:

Least Common Multiple of 3551 and 3556 = 12627356

Step 1: Find the prime factorization of 3551

3551 = 53 x 67

Step 2: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

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

LCM = 12627356 = 2 x 2 x 7 x 53 x 67 x 127

Step 4: Therefore, the least common multiple of 3551 and 3556 is 12627356.