Least Common Multiple of 5146 and 5154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5146 and 5154 the smallest integer that is 13261242 that is divisible by both numbers.

Least Common Multiple (LCM) of 5146 and 5154 is 13261242.

LCM(5146,5154) = 13261242

LCM of 5146 and 5154

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

LCM of:
and

Least Common Multiple of 5146 and 5154

LCM of 5146 and 5154 is 13261242

Least common multiple can be found by multiplying the highest exponent prime factors of 5146 and 5154. First we will calculate the prime factors of 5146 and 5154.

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

Prime Factorization of 5154


2 5154
3 2577
859 859
1

Prime factors of 5154 are 2, 3,859. Prime factorization of 5154 in exponential form is:

5154 = 21×31×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 5146 and 5154.

LCM(5146,5154) = 21×31×311×831×8591
LCM(5146,5154) = 13261242

Factors of 5146

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

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

Factors of 5154

List of positive integer factors of 5154 that divides 5154 without a remainder.

1, 2, 3, 6, 859, 1718, 2577, 5154

Least Common Multiple of 5146 and 5154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5146 and 5154, than apply into the LCM equation.

GCF(5146,5154) = 2
LCM(5146,5154) = ( 5146 × 5154) / 2
LCM(5146,5154) = 26522484 / 2
LCM(5146,5154) = 13261242

Properties of LCM 5146 and 5154

(i) The LCM of 5154 and 5146 is associative

LCM of 5146 and 5154 = LCM of 5154 and 5146

Related Least Common Multiples of 5146

Related Least Common Multiples of 5154

Frequently Asked Questions on LCM of 5146 and 5154

1. What is the LCM of 5146 and 5154?

Answer: LCM of 5146 and 5154 is 13261242.

2. 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.

3. What are the Factors of 5154?

Answer: Factors of 5154 are 1, 2, 3, 6, 859, 1718, 2577, 5154. There are 8 integers that are factors of 5154. The greatest factor of 5154 is 5154.

4. How to Find the LCM of 5146 and 5154?

Answer:

Least Common Multiple of 5146 and 5154 = 13261242

Step 1: Find the prime factorization of 5146

5146 = 2 x 31 x 83

Step 2: Find the prime factorization of 5154

5154 = 2 x 3 x 859

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

LCM = 13261242 = 2 x 3 x 31 x 83 x 859

Step 4: Therefore, the least common multiple of 5146 and 5154 is 13261242.