Least Common Multiple of 5656 and 5661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5656 and 5661 the smallest integer that is 32018616 that is divisible by both numbers.

Least Common Multiple (LCM) of 5656 and 5661 is 32018616.

LCM(5656,5661) = 32018616

LCM of 5656 and 5661

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

LCM of:
and

Least Common Multiple of 5656 and 5661

LCM of 5656 and 5661 is 32018616

Least common multiple can be found by multiplying the highest exponent prime factors of 5656 and 5661. First we will calculate the prime factors of 5656 and 5661.

Prime Factorization of 5656


2 5656
2 2828
2 1414
7 707
101 101
1

Prime factors of 5656 are 2, 7,101. Prime factorization of 5656 in exponential form is:

5656 = 23×71×1011

Prime Factorization of 5661


3 5661
3 1887
17 629
37 37
1

Prime factors of 5661 are 3, 17,37. Prime factorization of 5661 in exponential form is:

5661 = 32×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5656 and 5661.

LCM(5656,5661) = 23×32×71×171×371×1011
LCM(5656,5661) = 32018616

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656

Factors of 5661

List of positive integer factors of 5661 that divides 5661 without a remainder.

1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661

Least Common Multiple of 5656 and 5661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5656 and 5661, than apply into the LCM equation.

GCF(5656,5661) = 1
LCM(5656,5661) = ( 5656 × 5661) / 1
LCM(5656,5661) = 32018616 / 1
LCM(5656,5661) = 32018616

Properties of LCM 5656 and 5661

(i) The LCM of 5661 and 5656 is associative

LCM of 5656 and 5661 = LCM of 5661 and 5656

Related Least Common Multiples of 5656

Related Least Common Multiples of 5661

Frequently Asked Questions on LCM of 5656 and 5661

1. What is the LCM of 5656 and 5661?

Answer: LCM of 5656 and 5661 is 32018616.

2. What are the Factors of 5656?

Answer: Factors of 5656 are 1, 2, 4, 7, 8, 14, 28, 56, 101, 202, 404, 707, 808, 1414, 2828, 5656. There are 16 integers that are factors of 5656. The greatest factor of 5656 is 5656.

3. What are the Factors of 5661?

Answer: Factors of 5661 are 1, 3, 9, 17, 37, 51, 111, 153, 333, 629, 1887, 5661. There are 12 integers that are factors of 5661. The greatest factor of 5661 is 5661.

4. How to Find the LCM of 5656 and 5661?

Answer:

Least Common Multiple of 5656 and 5661 = 32018616

Step 1: Find the prime factorization of 5656

5656 = 2 x 2 x 2 x 7 x 101

Step 2: Find the prime factorization of 5661

5661 = 3 x 3 x 17 x 37

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

LCM = 32018616 = 2 x 2 x 2 x 3 x 3 x 7 x 17 x 37 x 101

Step 4: Therefore, the least common multiple of 5656 and 5661 is 32018616.