Least Common Multiple of 5146 and 5153

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 5153 the smallest integer that is 26517338 that is divisible by both numbers.

Least Common Multiple (LCM) of 5146 and 5153 is 26517338.

LCM(5146,5153) = 26517338

LCM of 5146 and 5153

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

LCM of:
and

Least Common Multiple of 5146 and 5153

LCM of 5146 and 5153 is 26517338

Least common multiple can be found by multiplying the highest exponent prime factors of 5146 and 5153. First we will calculate the prime factors of 5146 and 5153.

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 5153


5153 5153
1

Prime factors of 5153 are 5153. Prime factorization of 5153 in exponential form is:

5153 = 51531

Now multiplying the highest exponent prime factors to calculate the LCM of 5146 and 5153.

LCM(5146,5153) = 21×311×831×51531
LCM(5146,5153) = 26517338

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 5153

List of positive integer factors of 5153 that divides 5153 without a remainder.

1, 5153

Least Common Multiple of 5146 and 5153 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 5153, than apply into the LCM equation.

GCF(5146,5153) = 1
LCM(5146,5153) = ( 5146 × 5153) / 1
LCM(5146,5153) = 26517338 / 1
LCM(5146,5153) = 26517338

Properties of LCM 5146 and 5153

(i) The LCM of 5153 and 5146 is associative

LCM of 5146 and 5153 = LCM of 5153 and 5146

Related Least Common Multiples of 5146

Related Least Common Multiples of 5153

Frequently Asked Questions on LCM of 5146 and 5153

1. What is the LCM of 5146 and 5153?

Answer: LCM of 5146 and 5153 is 26517338.

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 5153?

Answer: Factors of 5153 are 1, 5153. There are 2 integers that are factors of 5153. The greatest factor of 5153 is 5153.

4. How to Find the LCM of 5146 and 5153?

Answer:

Least Common Multiple of 5146 and 5153 = 26517338

Step 1: Find the prime factorization of 5146

5146 = 2 x 31 x 83

Step 2: Find the prime factorization of 5153

5153 = 5153

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

LCM = 26517338 = 2 x 31 x 83 x 5153

Step 4: Therefore, the least common multiple of 5146 and 5153 is 26517338.