Least Common Multiple of 5113 and 5121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5113 and 5121 the smallest integer that is 26183673 that is divisible by both numbers.

Least Common Multiple (LCM) of 5113 and 5121 is 26183673.

LCM(5113,5121) = 26183673

LCM of 5113 and 5121

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

LCM of:
and

Least Common Multiple of 5113 and 5121

LCM of 5113 and 5121 is 26183673

Least common multiple can be found by multiplying the highest exponent prime factors of 5113 and 5121. First we will calculate the prime factors of 5113 and 5121.

Prime Factorization of 5113


5113 5113
1

Prime factors of 5113 are 5113. Prime factorization of 5113 in exponential form is:

5113 = 51131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5113 and 5121.

LCM(5113,5121) = 32×5691×51131
LCM(5113,5121) = 26183673

Factors of 5113

List of positive integer factors of 5113 that divides 5113 without a remainder.

1, 5113

Factors of 5121

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

1, 3, 9, 569, 1707, 5121

Least Common Multiple of 5113 and 5121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5113 and 5121, than apply into the LCM equation.

GCF(5113,5121) = 1
LCM(5113,5121) = ( 5113 × 5121) / 1
LCM(5113,5121) = 26183673 / 1
LCM(5113,5121) = 26183673

Properties of LCM 5113 and 5121

(i) The LCM of 5121 and 5113 is associative

LCM of 5113 and 5121 = LCM of 5121 and 5113

Related Least Common Multiples of 5113

Related Least Common Multiples of 5121

Frequently Asked Questions on LCM of 5113 and 5121

1. What is the LCM of 5113 and 5121?

Answer: LCM of 5113 and 5121 is 26183673.

2. What are the Factors of 5113?

Answer: Factors of 5113 are 1, 5113. There are 2 integers that are factors of 5113. The greatest factor of 5113 is 5113.

3. 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.

4. How to Find the LCM of 5113 and 5121?

Answer:

Least Common Multiple of 5113 and 5121 = 26183673

Step 1: Find the prime factorization of 5113

5113 = 5113

Step 2: Find the prime factorization of 5121

5121 = 3 x 3 x 569

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

LCM = 26183673 = 3 x 3 x 569 x 5113

Step 4: Therefore, the least common multiple of 5113 and 5121 is 26183673.