Least Common Multiple of 5146 and 5151

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 5151 the smallest integer that is 26507046 that is divisible by both numbers.

Least Common Multiple (LCM) of 5146 and 5151 is 26507046.

LCM(5146,5151) = 26507046

LCM of 5146 and 5151

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

LCM of:
and

Least Common Multiple of 5146 and 5151

LCM of 5146 and 5151 is 26507046

Least common multiple can be found by multiplying the highest exponent prime factors of 5146 and 5151. First we will calculate the prime factors of 5146 and 5151.

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 5151


3 5151
17 1717
101 101
1

Prime factors of 5151 are 3, 17,101. Prime factorization of 5151 in exponential form is:

5151 = 31×171×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5146 and 5151.

LCM(5146,5151) = 21×31×171×311×831×1011
LCM(5146,5151) = 26507046

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 5151

List of positive integer factors of 5151 that divides 5151 without a remainder.

1, 3, 17, 51, 101, 303, 1717, 5151

Least Common Multiple of 5146 and 5151 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 5151, than apply into the LCM equation.

GCF(5146,5151) = 1
LCM(5146,5151) = ( 5146 × 5151) / 1
LCM(5146,5151) = 26507046 / 1
LCM(5146,5151) = 26507046

Properties of LCM 5146 and 5151

(i) The LCM of 5151 and 5146 is associative

LCM of 5146 and 5151 = LCM of 5151 and 5146

Related Least Common Multiples of 5146

Related Least Common Multiples of 5151

Frequently Asked Questions on LCM of 5146 and 5151

1. What is the LCM of 5146 and 5151?

Answer: LCM of 5146 and 5151 is 26507046.

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 5151?

Answer: Factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151. There are 8 integers that are factors of 5151. The greatest factor of 5151 is 5151.

4. How to Find the LCM of 5146 and 5151?

Answer:

Least Common Multiple of 5146 and 5151 = 26507046

Step 1: Find the prime factorization of 5146

5146 = 2 x 31 x 83

Step 2: Find the prime factorization of 5151

5151 = 3 x 17 x 101

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

LCM = 26507046 = 2 x 3 x 17 x 31 x 83 x 101

Step 4: Therefore, the least common multiple of 5146 and 5151 is 26507046.