Least Common Multiple of 5138 and 5146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5138 and 5146 the smallest integer that is 13220074 that is divisible by both numbers.

Least Common Multiple (LCM) of 5138 and 5146 is 13220074.

LCM(5138,5146) = 13220074

LCM of 5138 and 5146

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

LCM of:
and

Least Common Multiple of 5138 and 5146

LCM of 5138 and 5146 is 13220074

Least common multiple can be found by multiplying the highest exponent prime factors of 5138 and 5146. First we will calculate the prime factors of 5138 and 5146.

Prime Factorization of 5138


2 5138
7 2569
367 367
1

Prime factors of 5138 are 2, 7,367. Prime factorization of 5138 in exponential form is:

5138 = 21×71×3671

Prime Factorization of 5146


2 5146
31 2573
83 83
1

Prime factors of 5146 are 2, 31,83. Prime factorization of 5146 in exponential form is:

5146 = 21×311×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5138 and 5146.

LCM(5138,5146) = 21×71×311×831×3671
LCM(5138,5146) = 13220074

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1, 2, 7, 14, 367, 734, 2569, 5138

Factors of 5146

List of positive integer factors of 5146 that divides 5146 without a remainder.

1, 2, 31, 62, 83, 166, 2573, 5146

Least Common Multiple of 5138 and 5146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5138 and 5146, than apply into the LCM equation.

GCF(5138,5146) = 2
LCM(5138,5146) = ( 5138 × 5146) / 2
LCM(5138,5146) = 26440148 / 2
LCM(5138,5146) = 13220074

Properties of LCM 5138 and 5146

(i) The LCM of 5146 and 5138 is associative

LCM of 5138 and 5146 = LCM of 5146 and 5138

Related Least Common Multiples of 5138

Related Least Common Multiples of 5146

Frequently Asked Questions on LCM of 5138 and 5146

1. What is the LCM of 5138 and 5146?

Answer: LCM of 5138 and 5146 is 13220074.

2. What are the Factors of 5138?

Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.

3. What are the Factors of 5146?

Answer: Factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146. There are 8 integers that are factors of 5146. The greatest factor of 5146 is 5146.

4. How to Find the LCM of 5138 and 5146?

Answer:

Least Common Multiple of 5138 and 5146 = 13220074

Step 1: Find the prime factorization of 5138

5138 = 2 x 7 x 367

Step 2: Find the prime factorization of 5146

5146 = 2 x 31 x 83

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

LCM = 13220074 = 2 x 7 x 31 x 83 x 367

Step 4: Therefore, the least common multiple of 5138 and 5146 is 13220074.