Least Common Multiple of 5134 and 5136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5134 and 5136 the smallest integer that is 13184112 that is divisible by both numbers.

Least Common Multiple (LCM) of 5134 and 5136 is 13184112.

LCM(5134,5136) = 13184112

LCM of 5134 and 5136

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

LCM of:
and

Least Common Multiple of 5134 and 5136

LCM of 5134 and 5136 is 13184112

Least common multiple can be found by multiplying the highest exponent prime factors of 5134 and 5136. First we will calculate the prime factors of 5134 and 5136.

Prime Factorization of 5134


2 5134
17 2567
151 151
1

Prime factors of 5134 are 2, 17,151. Prime factorization of 5134 in exponential form is:

5134 = 21×171×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5134 and 5136.

LCM(5134,5136) = 24×31×171×1071×1511
LCM(5134,5136) = 13184112

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1, 2, 17, 34, 151, 302, 2567, 5134

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

Least Common Multiple of 5134 and 5136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5134 and 5136, than apply into the LCM equation.

GCF(5134,5136) = 2
LCM(5134,5136) = ( 5134 × 5136) / 2
LCM(5134,5136) = 26368224 / 2
LCM(5134,5136) = 13184112

Properties of LCM 5134 and 5136

(i) The LCM of 5136 and 5134 is associative

LCM of 5134 and 5136 = LCM of 5136 and 5134

Related Least Common Multiples of 5134

Related Least Common Multiples of 5136

Frequently Asked Questions on LCM of 5134 and 5136

1. What is the LCM of 5134 and 5136?

Answer: LCM of 5134 and 5136 is 13184112.

2. What are the Factors of 5134?

Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.

3. 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.

4. How to Find the LCM of 5134 and 5136?

Answer:

Least Common Multiple of 5134 and 5136 = 13184112

Step 1: Find the prime factorization of 5134

5134 = 2 x 17 x 151

Step 2: Find the prime factorization of 5136

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

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

LCM = 13184112 = 2 x 2 x 2 x 2 x 3 x 17 x 107 x 151

Step 4: Therefore, the least common multiple of 5134 and 5136 is 13184112.