Least Common Multiple of 5188 and 5196

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 5196 the smallest integer that is 6739212 that is divisible by both numbers.

Least Common Multiple (LCM) of 5188 and 5196 is 6739212.

LCM(5188,5196) = 6739212

LCM of 5188 and 5196

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

LCM of:
and

Least Common Multiple of 5188 and 5196

LCM of 5188 and 5196 is 6739212

Least common multiple can be found by multiplying the highest exponent prime factors of 5188 and 5196. First we will calculate the prime factors of 5188 and 5196.

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 5196


2 5196
2 2598
3 1299
433 433
1

Prime factors of 5196 are 2, 3,433. Prime factorization of 5196 in exponential form is:

5196 = 22×31×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 5188 and 5196.

LCM(5188,5196) = 22×31×4331×12971
LCM(5188,5196) = 6739212

Factors of 5188

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

1, 2, 4, 1297, 2594, 5188

Factors of 5196

List of positive integer factors of 5196 that divides 5196 without a remainder.

1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196

Least Common Multiple of 5188 and 5196 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 5196, than apply into the LCM equation.

GCF(5188,5196) = 4
LCM(5188,5196) = ( 5188 × 5196) / 4
LCM(5188,5196) = 26956848 / 4
LCM(5188,5196) = 6739212

Properties of LCM 5188 and 5196

(i) The LCM of 5196 and 5188 is associative

LCM of 5188 and 5196 = LCM of 5196 and 5188

Related Least Common Multiples of 5188

Related Least Common Multiples of 5196

Frequently Asked Questions on LCM of 5188 and 5196

1. What is the LCM of 5188 and 5196?

Answer: LCM of 5188 and 5196 is 6739212.

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 5196?

Answer: Factors of 5196 are 1, 2, 3, 4, 6, 12, 433, 866, 1299, 1732, 2598, 5196. There are 12 integers that are factors of 5196. The greatest factor of 5196 is 5196.

4. How to Find the LCM of 5188 and 5196?

Answer:

Least Common Multiple of 5188 and 5196 = 6739212

Step 1: Find the prime factorization of 5188

5188 = 2 x 2 x 1297

Step 2: Find the prime factorization of 5196

5196 = 2 x 2 x 3 x 433

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

LCM = 6739212 = 2 x 2 x 3 x 433 x 1297

Step 4: Therefore, the least common multiple of 5188 and 5196 is 6739212.