Least Common Multiple of 5136 and 5143

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 5143 the smallest integer that is 26414448 that is divisible by both numbers.

Least Common Multiple (LCM) of 5136 and 5143 is 26414448.

LCM(5136,5143) = 26414448

LCM of 5136 and 5143

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

LCM of:
and

Least Common Multiple of 5136 and 5143

LCM of 5136 and 5143 is 26414448

Least common multiple can be found by multiplying the highest exponent prime factors of 5136 and 5143. First we will calculate the prime factors of 5136 and 5143.

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 5143


37 5143
139 139
1

Prime factors of 5143 are 37,139. Prime factorization of 5143 in exponential form is:

5143 = 371×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5136 and 5143.

LCM(5136,5143) = 24×31×371×1071×1391
LCM(5136,5143) = 26414448

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 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1, 37, 139, 5143

Least Common Multiple of 5136 and 5143 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 5143, than apply into the LCM equation.

GCF(5136,5143) = 1
LCM(5136,5143) = ( 5136 × 5143) / 1
LCM(5136,5143) = 26414448 / 1
LCM(5136,5143) = 26414448

Properties of LCM 5136 and 5143

(i) The LCM of 5143 and 5136 is associative

LCM of 5136 and 5143 = LCM of 5143 and 5136

Related Least Common Multiples of 5136

Related Least Common Multiples of 5143

Frequently Asked Questions on LCM of 5136 and 5143

1. What is the LCM of 5136 and 5143?

Answer: LCM of 5136 and 5143 is 26414448.

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 5143?

Answer: Factors of 5143 are 1, 37, 139, 5143. There are 4 integers that are factors of 5143. The greatest factor of 5143 is 5143.

4. How to Find the LCM of 5136 and 5143?

Answer:

Least Common Multiple of 5136 and 5143 = 26414448

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 5143

5143 = 37 x 139

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

LCM = 26414448 = 2 x 2 x 2 x 2 x 3 x 37 x 107 x 139

Step 4: Therefore, the least common multiple of 5136 and 5143 is 26414448.