Least Common Multiple of 5672 and 5679

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 5679 the smallest integer that is 32211288 that is divisible by both numbers.

Least Common Multiple (LCM) of 5672 and 5679 is 32211288.

LCM(5672,5679) = 32211288

LCM of 5672 and 5679

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

LCM of:
and

Least Common Multiple of 5672 and 5679

LCM of 5672 and 5679 is 32211288

Least common multiple can be found by multiplying the highest exponent prime factors of 5672 and 5679. First we will calculate the prime factors of 5672 and 5679.

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 5679


3 5679
3 1893
631 631
1

Prime factors of 5679 are 3,631. Prime factorization of 5679 in exponential form is:

5679 = 32×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 5672 and 5679.

LCM(5672,5679) = 23×32×6311×7091
LCM(5672,5679) = 32211288

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 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1, 3, 9, 631, 1893, 5679

Least Common Multiple of 5672 and 5679 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 5679, than apply into the LCM equation.

GCF(5672,5679) = 1
LCM(5672,5679) = ( 5672 × 5679) / 1
LCM(5672,5679) = 32211288 / 1
LCM(5672,5679) = 32211288

Properties of LCM 5672 and 5679

(i) The LCM of 5679 and 5672 is associative

LCM of 5672 and 5679 = LCM of 5679 and 5672

Related Least Common Multiples of 5672

Related Least Common Multiples of 5679

Frequently Asked Questions on LCM of 5672 and 5679

1. What is the LCM of 5672 and 5679?

Answer: LCM of 5672 and 5679 is 32211288.

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 5679?

Answer: Factors of 5679 are 1, 3, 9, 631, 1893, 5679. There are 6 integers that are factors of 5679. The greatest factor of 5679 is 5679.

4. How to Find the LCM of 5672 and 5679?

Answer:

Least Common Multiple of 5672 and 5679 = 32211288

Step 1: Find the prime factorization of 5672

5672 = 2 x 2 x 2 x 709

Step 2: Find the prime factorization of 5679

5679 = 3 x 3 x 631

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

LCM = 32211288 = 2 x 2 x 2 x 3 x 3 x 631 x 709

Step 4: Therefore, the least common multiple of 5672 and 5679 is 32211288.