Least Common Multiple of 5188 and 5195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5188 and 5195 the smallest integer that is 26951660 that is divisible by both numbers.

Least Common Multiple (LCM) of 5188 and 5195 is 26951660.

LCM(5188,5195) = 26951660

LCM of 5188 and 5195

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

LCM of:
and

Least Common Multiple of 5188 and 5195

LCM of 5188 and 5195 is 26951660

Least common multiple can be found by multiplying the highest exponent prime factors of 5188 and 5195. First we will calculate the prime factors of 5188 and 5195.

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

Prime Factorization of 5195


5 5195
1039 1039
1

Prime factors of 5195 are 5,1039. Prime factorization of 5195 in exponential form is:

5195 = 51×10391

Now multiplying the highest exponent prime factors to calculate the LCM of 5188 and 5195.

LCM(5188,5195) = 22×51×10391×12971
LCM(5188,5195) = 26951660

Factors of 5188

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

1, 2, 4, 1297, 2594, 5188

Factors of 5195

List of positive integer factors of 5195 that divides 5195 without a remainder.

1, 5, 1039, 5195

Least Common Multiple of 5188 and 5195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5188 and 5195, than apply into the LCM equation.

GCF(5188,5195) = 1
LCM(5188,5195) = ( 5188 × 5195) / 1
LCM(5188,5195) = 26951660 / 1
LCM(5188,5195) = 26951660

Properties of LCM 5188 and 5195

(i) The LCM of 5195 and 5188 is associative

LCM of 5188 and 5195 = LCM of 5195 and 5188

Related Least Common Multiples of 5188

Related Least Common Multiples of 5195

Frequently Asked Questions on LCM of 5188 and 5195

1. What is the LCM of 5188 and 5195?

Answer: LCM of 5188 and 5195 is 26951660.

2. 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.

3. What are the Factors of 5195?

Answer: Factors of 5195 are 1, 5, 1039, 5195. There are 4 integers that are factors of 5195. The greatest factor of 5195 is 5195.

4. How to Find the LCM of 5188 and 5195?

Answer:

Least Common Multiple of 5188 and 5195 = 26951660

Step 1: Find the prime factorization of 5188

5188 = 2 x 2 x 1297

Step 2: Find the prime factorization of 5195

5195 = 5 x 1039

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

LCM = 26951660 = 2 x 2 x 5 x 1039 x 1297

Step 4: Therefore, the least common multiple of 5188 and 5195 is 26951660.