Least Common Multiple of 5121 and 5126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5121 and 5126 the smallest integer that is 26250246 that is divisible by both numbers.

Least Common Multiple (LCM) of 5121 and 5126 is 26250246.

LCM(5121,5126) = 26250246

LCM of 5121 and 5126

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

LCM of:
and

Least Common Multiple of 5121 and 5126

LCM of 5121 and 5126 is 26250246

Least common multiple can be found by multiplying the highest exponent prime factors of 5121 and 5126. First we will calculate the prime factors of 5121 and 5126.

Prime Factorization of 5121


3 5121
3 1707
569 569
1

Prime factors of 5121 are 3,569. Prime factorization of 5121 in exponential form is:

5121 = 32×5691

Prime Factorization of 5126


2 5126
11 2563
233 233
1

Prime factors of 5126 are 2, 11,233. Prime factorization of 5126 in exponential form is:

5126 = 21×111×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 5121 and 5126.

LCM(5121,5126) = 21×32×111×2331×5691
LCM(5121,5126) = 26250246

Factors of 5121

List of positive integer factors of 5121 that divides 5121 without a remainder.

1, 3, 9, 569, 1707, 5121

Factors of 5126

List of positive integer factors of 5126 that divides 5126 without a remainder.

1, 2, 11, 22, 233, 466, 2563, 5126

Least Common Multiple of 5121 and 5126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5121 and 5126, than apply into the LCM equation.

GCF(5121,5126) = 1
LCM(5121,5126) = ( 5121 × 5126) / 1
LCM(5121,5126) = 26250246 / 1
LCM(5121,5126) = 26250246

Properties of LCM 5121 and 5126

(i) The LCM of 5126 and 5121 is associative

LCM of 5121 and 5126 = LCM of 5126 and 5121

Related Least Common Multiples of 5121

Related Least Common Multiples of 5126

Frequently Asked Questions on LCM of 5121 and 5126

1. What is the LCM of 5121 and 5126?

Answer: LCM of 5121 and 5126 is 26250246.

2. What are the Factors of 5121?

Answer: Factors of 5121 are 1, 3, 9, 569, 1707, 5121. There are 6 integers that are factors of 5121. The greatest factor of 5121 is 5121.

3. What are the Factors of 5126?

Answer: Factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126. There are 8 integers that are factors of 5126. The greatest factor of 5126 is 5126.

4. How to Find the LCM of 5121 and 5126?

Answer:

Least Common Multiple of 5121 and 5126 = 26250246

Step 1: Find the prime factorization of 5121

5121 = 3 x 3 x 569

Step 2: Find the prime factorization of 5126

5126 = 2 x 11 x 233

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

LCM = 26250246 = 2 x 3 x 3 x 11 x 233 x 569

Step 4: Therefore, the least common multiple of 5121 and 5126 is 26250246.