Least Common Multiple of 5136 and 5141

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 5141 the smallest integer that is 26404176 that is divisible by both numbers.

Least Common Multiple (LCM) of 5136 and 5141 is 26404176.

LCM(5136,5141) = 26404176

LCM of 5136 and 5141

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

LCM of:
and

Least Common Multiple of 5136 and 5141

LCM of 5136 and 5141 is 26404176

Least common multiple can be found by multiplying the highest exponent prime factors of 5136 and 5141. First we will calculate the prime factors of 5136 and 5141.

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 5141


53 5141
97 97
1

Prime factors of 5141 are 53,97. Prime factorization of 5141 in exponential form is:

5141 = 531×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5136 and 5141.

LCM(5136,5141) = 24×31×531×971×1071
LCM(5136,5141) = 26404176

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 5141

List of positive integer factors of 5141 that divides 5141 without a remainder.

1, 53, 97, 5141

Least Common Multiple of 5136 and 5141 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 5141, than apply into the LCM equation.

GCF(5136,5141) = 1
LCM(5136,5141) = ( 5136 × 5141) / 1
LCM(5136,5141) = 26404176 / 1
LCM(5136,5141) = 26404176

Properties of LCM 5136 and 5141

(i) The LCM of 5141 and 5136 is associative

LCM of 5136 and 5141 = LCM of 5141 and 5136

Related Least Common Multiples of 5136

Related Least Common Multiples of 5141

Frequently Asked Questions on LCM of 5136 and 5141

1. What is the LCM of 5136 and 5141?

Answer: LCM of 5136 and 5141 is 26404176.

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 5141?

Answer: Factors of 5141 are 1, 53, 97, 5141. There are 4 integers that are factors of 5141. The greatest factor of 5141 is 5141.

4. How to Find the LCM of 5136 and 5141?

Answer:

Least Common Multiple of 5136 and 5141 = 26404176

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 5141

5141 = 53 x 97

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

LCM = 26404176 = 2 x 2 x 2 x 2 x 3 x 53 x 97 x 107

Step 4: Therefore, the least common multiple of 5136 and 5141 is 26404176.