Least Common Multiple of 5676 and 5681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5676 and 5681 the smallest integer that is 32245356 that is divisible by both numbers.

Least Common Multiple (LCM) of 5676 and 5681 is 32245356.

LCM(5676,5681) = 32245356

LCM of 5676 and 5681

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

LCM of:
and

Least Common Multiple of 5676 and 5681

LCM of 5676 and 5681 is 32245356

Least common multiple can be found by multiplying the highest exponent prime factors of 5676 and 5681. First we will calculate the prime factors of 5676 and 5681.

Prime Factorization of 5676


2 5676
2 2838
3 1419
11 473
43 43
1

Prime factors of 5676 are 2, 3, 11,43. Prime factorization of 5676 in exponential form is:

5676 = 22×31×111×431

Prime Factorization of 5681


13 5681
19 437
23 23
1

Prime factors of 5681 are 13, 19,23. Prime factorization of 5681 in exponential form is:

5681 = 131×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5676 and 5681.

LCM(5676,5681) = 22×31×111×131×191×231×431
LCM(5676,5681) = 32245356

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676

Factors of 5681

List of positive integer factors of 5681 that divides 5681 without a remainder.

1, 13, 19, 23, 247, 299, 437, 5681

Least Common Multiple of 5676 and 5681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5676 and 5681, than apply into the LCM equation.

GCF(5676,5681) = 1
LCM(5676,5681) = ( 5676 × 5681) / 1
LCM(5676,5681) = 32245356 / 1
LCM(5676,5681) = 32245356

Properties of LCM 5676 and 5681

(i) The LCM of 5681 and 5676 is associative

LCM of 5676 and 5681 = LCM of 5681 and 5676

Related Least Common Multiples of 5676

Related Least Common Multiples of 5681

Frequently Asked Questions on LCM of 5676 and 5681

1. What is the LCM of 5676 and 5681?

Answer: LCM of 5676 and 5681 is 32245356.

2. What are the Factors of 5676?

Answer: Factors of 5676 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 43, 44, 66, 86, 129, 132, 172, 258, 473, 516, 946, 1419, 1892, 2838, 5676. There are 24 integers that are factors of 5676. The greatest factor of 5676 is 5676.

3. What are the Factors of 5681?

Answer: Factors of 5681 are 1, 13, 19, 23, 247, 299, 437, 5681. There are 8 integers that are factors of 5681. The greatest factor of 5681 is 5681.

4. How to Find the LCM of 5676 and 5681?

Answer:

Least Common Multiple of 5676 and 5681 = 32245356

Step 1: Find the prime factorization of 5676

5676 = 2 x 2 x 3 x 11 x 43

Step 2: Find the prime factorization of 5681

5681 = 13 x 19 x 23

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

LCM = 32245356 = 2 x 2 x 3 x 11 x 13 x 19 x 23 x 43

Step 4: Therefore, the least common multiple of 5676 and 5681 is 32245356.