Least Common Multiple of 5183 and 5188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5183 and 5188 the smallest integer that is 26889404 that is divisible by both numbers.

Least Common Multiple (LCM) of 5183 and 5188 is 26889404.

LCM(5183,5188) = 26889404

LCM of 5183 and 5188

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

LCM of:
and

Least Common Multiple of 5183 and 5188

LCM of 5183 and 5188 is 26889404

Least common multiple can be found by multiplying the highest exponent prime factors of 5183 and 5188. First we will calculate the prime factors of 5183 and 5188.

Prime Factorization of 5183


71 5183
73 73
1

Prime factors of 5183 are 71,73. Prime factorization of 5183 in exponential form is:

5183 = 711×731

Prime Factorization of 5188


2 5188
2 2594
1297 1297
1

Prime factors of 5188 are 2,1297. Prime factorization of 5188 in exponential form is:

5188 = 22×12971

Now multiplying the highest exponent prime factors to calculate the LCM of 5183 and 5188.

LCM(5183,5188) = 22×711×731×12971
LCM(5183,5188) = 26889404

Factors of 5183

List of positive integer factors of 5183 that divides 5183 without a remainder.

1, 71, 73, 5183

Factors of 5188

List of positive integer factors of 5188 that divides 5188 without a remainder.

1, 2, 4, 1297, 2594, 5188

Least Common Multiple of 5183 and 5188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5183 and 5188, than apply into the LCM equation.

GCF(5183,5188) = 1
LCM(5183,5188) = ( 5183 × 5188) / 1
LCM(5183,5188) = 26889404 / 1
LCM(5183,5188) = 26889404

Properties of LCM 5183 and 5188

(i) The LCM of 5188 and 5183 is associative

LCM of 5183 and 5188 = LCM of 5188 and 5183

Related Least Common Multiples of 5183

Related Least Common Multiples of 5188

Frequently Asked Questions on LCM of 5183 and 5188

1. What is the LCM of 5183 and 5188?

Answer: LCM of 5183 and 5188 is 26889404.

2. What are the Factors of 5183?

Answer: Factors of 5183 are 1, 71, 73, 5183. There are 4 integers that are factors of 5183. The greatest factor of 5183 is 5183.

3. What are the Factors of 5188?

Answer: Factors of 5188 are 1, 2, 4, 1297, 2594, 5188. There are 6 integers that are factors of 5188. The greatest factor of 5188 is 5188.

4. How to Find the LCM of 5183 and 5188?

Answer:

Least Common Multiple of 5183 and 5188 = 26889404

Step 1: Find the prime factorization of 5183

5183 = 71 x 73

Step 2: Find the prime factorization of 5188

5188 = 2 x 2 x 1297

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

LCM = 26889404 = 2 x 2 x 71 x 73 x 1297

Step 4: Therefore, the least common multiple of 5183 and 5188 is 26889404.