Least Common Multiple of 5672 and 5676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5672 and 5676 the smallest integer that is 8048568 that is divisible by both numbers.

Least Common Multiple (LCM) of 5672 and 5676 is 8048568.

LCM(5672,5676) = 8048568

LCM of 5672 and 5676

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

LCM of:
and

Least Common Multiple of 5672 and 5676

LCM of 5672 and 5676 is 8048568

Least common multiple can be found by multiplying the highest exponent prime factors of 5672 and 5676. First we will calculate the prime factors of 5672 and 5676.

Prime Factorization of 5672


2 5672
2 2836
2 1418
709 709
1

Prime factors of 5672 are 2,709. Prime factorization of 5672 in exponential form is:

5672 = 23×7091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5672 and 5676.

LCM(5672,5676) = 23×31×111×431×7091
LCM(5672,5676) = 8048568

Factors of 5672

List of positive integer factors of 5672 that divides 5672 without a remainder.

1, 2, 4, 8, 709, 1418, 2836, 5672

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

Least Common Multiple of 5672 and 5676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5672 and 5676, than apply into the LCM equation.

GCF(5672,5676) = 4
LCM(5672,5676) = ( 5672 × 5676) / 4
LCM(5672,5676) = 32194272 / 4
LCM(5672,5676) = 8048568

Properties of LCM 5672 and 5676

(i) The LCM of 5676 and 5672 is associative

LCM of 5672 and 5676 = LCM of 5676 and 5672

Related Least Common Multiples of 5672

Related Least Common Multiples of 5676

Frequently Asked Questions on LCM of 5672 and 5676

1. What is the LCM of 5672 and 5676?

Answer: LCM of 5672 and 5676 is 8048568.

2. What are the Factors of 5672?

Answer: Factors of 5672 are 1, 2, 4, 8, 709, 1418, 2836, 5672. There are 8 integers that are factors of 5672. The greatest factor of 5672 is 5672.

3. 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.

4. How to Find the LCM of 5672 and 5676?

Answer:

Least Common Multiple of 5672 and 5676 = 8048568

Step 1: Find the prime factorization of 5672

5672 = 2 x 2 x 2 x 709

Step 2: Find the prime factorization of 5676

5676 = 2 x 2 x 3 x 11 x 43

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

LCM = 8048568 = 2 x 2 x 2 x 3 x 11 x 43 x 709

Step 4: Therefore, the least common multiple of 5672 and 5676 is 8048568.