Least Common Multiple of 5136 and 5140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5136 and 5140 the smallest integer that is 6599760 that is divisible by both numbers.

Least Common Multiple (LCM) of 5136 and 5140 is 6599760.

LCM(5136,5140) = 6599760

LCM of 5136 and 5140

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

LCM of:
and

Least Common Multiple of 5136 and 5140

LCM of 5136 and 5140 is 6599760

Least common multiple can be found by multiplying the highest exponent prime factors of 5136 and 5140. First we will calculate the prime factors of 5136 and 5140.

Prime Factorization of 5136


2 5136
2 2568
2 1284
2 642
3 321
107 107
1

Prime factors of 5136 are 2, 3,107. Prime factorization of 5136 in exponential form is:

5136 = 24×31×1071

Prime Factorization of 5140


2 5140
2 2570
5 1285
257 257
1

Prime factors of 5140 are 2, 5,257. Prime factorization of 5140 in exponential form is:

5140 = 22×51×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 5136 and 5140.

LCM(5136,5140) = 24×31×51×1071×2571
LCM(5136,5140) = 6599760

Factors of 5136

List of positive integer factors of 5136 that divides 5136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140

Least Common Multiple of 5136 and 5140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5136 and 5140, than apply into the LCM equation.

GCF(5136,5140) = 4
LCM(5136,5140) = ( 5136 × 5140) / 4
LCM(5136,5140) = 26399040 / 4
LCM(5136,5140) = 6599760

Properties of LCM 5136 and 5140

(i) The LCM of 5140 and 5136 is associative

LCM of 5136 and 5140 = LCM of 5140 and 5136

Related Least Common Multiples of 5136

Related Least Common Multiples of 5140

Frequently Asked Questions on LCM of 5136 and 5140

1. What is the LCM of 5136 and 5140?

Answer: LCM of 5136 and 5140 is 6599760.

2. What are the Factors of 5136?

Answer: Factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136. There are 20 integers that are factors of 5136. The greatest factor of 5136 is 5136.

3. What are the Factors of 5140?

Answer: Factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140. There are 12 integers that are factors of 5140. The greatest factor of 5140 is 5140.

4. How to Find the LCM of 5136 and 5140?

Answer:

Least Common Multiple of 5136 and 5140 = 6599760

Step 1: Find the prime factorization of 5136

5136 = 2 x 2 x 2 x 2 x 3 x 107

Step 2: Find the prime factorization of 5140

5140 = 2 x 2 x 5 x 257

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

LCM = 6599760 = 2 x 2 x 2 x 2 x 3 x 5 x 107 x 257

Step 4: Therefore, the least common multiple of 5136 and 5140 is 6599760.