Least Common Multiple of 5665 and 5672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5665 and 5672 the smallest integer that is 32131880 that is divisible by both numbers.

Least Common Multiple (LCM) of 5665 and 5672 is 32131880.

LCM(5665,5672) = 32131880

LCM of 5665 and 5672

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

LCM of:
and

Least Common Multiple of 5665 and 5672

LCM of 5665 and 5672 is 32131880

Least common multiple can be found by multiplying the highest exponent prime factors of 5665 and 5672. First we will calculate the prime factors of 5665 and 5672.

Prime Factorization of 5665


5 5665
11 1133
103 103
1

Prime factors of 5665 are 5, 11,103. Prime factorization of 5665 in exponential form is:

5665 = 51×111×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5665 and 5672.

LCM(5665,5672) = 23×51×111×1031×7091
LCM(5665,5672) = 32131880

Factors of 5665

List of positive integer factors of 5665 that divides 5665 without a remainder.

1, 5, 11, 55, 103, 515, 1133, 5665

Factors of 5672

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

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

Least Common Multiple of 5665 and 5672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5665 and 5672, than apply into the LCM equation.

GCF(5665,5672) = 1
LCM(5665,5672) = ( 5665 × 5672) / 1
LCM(5665,5672) = 32131880 / 1
LCM(5665,5672) = 32131880

Properties of LCM 5665 and 5672

(i) The LCM of 5672 and 5665 is associative

LCM of 5665 and 5672 = LCM of 5672 and 5665

Related Least Common Multiples of 5665

Related Least Common Multiples of 5672

Frequently Asked Questions on LCM of 5665 and 5672

1. What is the LCM of 5665 and 5672?

Answer: LCM of 5665 and 5672 is 32131880.

2. What are the Factors of 5665?

Answer: Factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665. There are 8 integers that are factors of 5665. The greatest factor of 5665 is 5665.

3. 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.

4. How to Find the LCM of 5665 and 5672?

Answer:

Least Common Multiple of 5665 and 5672 = 32131880

Step 1: Find the prime factorization of 5665

5665 = 5 x 11 x 103

Step 2: Find the prime factorization of 5672

5672 = 2 x 2 x 2 x 709

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

LCM = 32131880 = 2 x 2 x 2 x 5 x 11 x 103 x 709

Step 4: Therefore, the least common multiple of 5665 and 5672 is 32131880.