Least Common Multiple of 5665 and 5673

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 5673 the smallest integer that is 32137545 that is divisible by both numbers.

Least Common Multiple (LCM) of 5665 and 5673 is 32137545.

LCM(5665,5673) = 32137545

LCM of 5665 and 5673

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

LCM of:
and

Least Common Multiple of 5665 and 5673

LCM of 5665 and 5673 is 32137545

Least common multiple can be found by multiplying the highest exponent prime factors of 5665 and 5673. First we will calculate the prime factors of 5665 and 5673.

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 5673


3 5673
31 1891
61 61
1

Prime factors of 5673 are 3, 31,61. Prime factorization of 5673 in exponential form is:

5673 = 31×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5665 and 5673.

LCM(5665,5673) = 31×51×111×311×611×1031
LCM(5665,5673) = 32137545

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 5673

List of positive integer factors of 5673 that divides 5673 without a remainder.

1, 3, 31, 61, 93, 183, 1891, 5673

Least Common Multiple of 5665 and 5673 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 5673, than apply into the LCM equation.

GCF(5665,5673) = 1
LCM(5665,5673) = ( 5665 × 5673) / 1
LCM(5665,5673) = 32137545 / 1
LCM(5665,5673) = 32137545

Properties of LCM 5665 and 5673

(i) The LCM of 5673 and 5665 is associative

LCM of 5665 and 5673 = LCM of 5673 and 5665

Related Least Common Multiples of 5665

Related Least Common Multiples of 5673

Frequently Asked Questions on LCM of 5665 and 5673

1. What is the LCM of 5665 and 5673?

Answer: LCM of 5665 and 5673 is 32137545.

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 5673?

Answer: Factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673. There are 8 integers that are factors of 5673. The greatest factor of 5673 is 5673.

4. How to Find the LCM of 5665 and 5673?

Answer:

Least Common Multiple of 5665 and 5673 = 32137545

Step 1: Find the prime factorization of 5665

5665 = 5 x 11 x 103

Step 2: Find the prime factorization of 5673

5673 = 3 x 31 x 61

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

LCM = 32137545 = 3 x 5 x 11 x 31 x 61 x 103

Step 4: Therefore, the least common multiple of 5665 and 5673 is 32137545.