Least Common Multiple of 3556 and 3561

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 3561 the smallest integer that is 12662916 that is divisible by both numbers.

Least Common Multiple (LCM) of 3556 and 3561 is 12662916.

LCM(3556,3561) = 12662916

LCM of 3556 and 3561

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

LCM of:
and

Least Common Multiple of 3556 and 3561

LCM of 3556 and 3561 is 12662916

Least common multiple can be found by multiplying the highest exponent prime factors of 3556 and 3561. First we will calculate the prime factors of 3556 and 3561.

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 3561


3 3561
1187 1187
1

Prime factors of 3561 are 3,1187. Prime factorization of 3561 in exponential form is:

3561 = 31×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 3556 and 3561.

LCM(3556,3561) = 22×31×71×1271×11871
LCM(3556,3561) = 12662916

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 3561

List of positive integer factors of 3561 that divides 3561 without a remainder.

1, 3, 1187, 3561

Least Common Multiple of 3556 and 3561 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 3561, than apply into the LCM equation.

GCF(3556,3561) = 1
LCM(3556,3561) = ( 3556 × 3561) / 1
LCM(3556,3561) = 12662916 / 1
LCM(3556,3561) = 12662916

Properties of LCM 3556 and 3561

(i) The LCM of 3561 and 3556 is associative

LCM of 3556 and 3561 = LCM of 3561 and 3556

Related Least Common Multiples of 3556

Related Least Common Multiples of 3561

Frequently Asked Questions on LCM of 3556 and 3561

1. What is the LCM of 3556 and 3561?

Answer: LCM of 3556 and 3561 is 12662916.

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 3561?

Answer: Factors of 3561 are 1, 3, 1187, 3561. There are 4 integers that are factors of 3561. The greatest factor of 3561 is 3561.

4. How to Find the LCM of 3556 and 3561?

Answer:

Least Common Multiple of 3556 and 3561 = 12662916

Step 1: Find the prime factorization of 3556

3556 = 2 x 2 x 7 x 127

Step 2: Find the prime factorization of 3561

3561 = 3 x 1187

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

LCM = 12662916 = 2 x 2 x 3 x 7 x 127 x 1187

Step 4: Therefore, the least common multiple of 3556 and 3561 is 12662916.