Least Common Multiple of 5667 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 5667 and 5673 the smallest integer that is 10716297 that is divisible by both numbers.

Least Common Multiple (LCM) of 5667 and 5673 is 10716297.

LCM(5667,5673) = 10716297

LCM of 5667 and 5673

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

LCM of:
and

Least Common Multiple of 5667 and 5673

LCM of 5667 and 5673 is 10716297

Least common multiple can be found by multiplying the highest exponent prime factors of 5667 and 5673. First we will calculate the prime factors of 5667 and 5673.

Prime Factorization of 5667


3 5667
1889 1889
1

Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:

5667 = 31×18891

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 5667 and 5673.

LCM(5667,5673) = 31×311×611×18891
LCM(5667,5673) = 10716297

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1, 3, 1889, 5667

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 5667 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 5667 and 5673, than apply into the LCM equation.

GCF(5667,5673) = 3
LCM(5667,5673) = ( 5667 × 5673) / 3
LCM(5667,5673) = 32148891 / 3
LCM(5667,5673) = 10716297

Properties of LCM 5667 and 5673

(i) The LCM of 5673 and 5667 is associative

LCM of 5667 and 5673 = LCM of 5673 and 5667

Related Least Common Multiples of 5667

Related Least Common Multiples of 5673

Frequently Asked Questions on LCM of 5667 and 5673

1. What is the LCM of 5667 and 5673?

Answer: LCM of 5667 and 5673 is 10716297.

2. What are the Factors of 5667?

Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.

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 5667 and 5673?

Answer:

Least Common Multiple of 5667 and 5673 = 10716297

Step 1: Find the prime factorization of 5667

5667 = 3 x 1889

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 = 10716297 = 3 x 31 x 61 x 1889

Step 4: Therefore, the least common multiple of 5667 and 5673 is 10716297.