Least Common Multiple of 5113 and 5120

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 5120 the smallest integer that is 26178560 that is divisible by both numbers.

Least Common Multiple (LCM) of 5113 and 5120 is 26178560.

LCM(5113,5120) = 26178560

LCM of 5113 and 5120

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

LCM of:
and

Least Common Multiple of 5113 and 5120

LCM of 5113 and 5120 is 26178560

Least common multiple can be found by multiplying the highest exponent prime factors of 5113 and 5120. First we will calculate the prime factors of 5113 and 5120.

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 5120


2 5120
2 2560
2 1280
2 640
2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 5120 are 2,5. Prime factorization of 5120 in exponential form is:

5120 = 210×51

Now multiplying the highest exponent prime factors to calculate the LCM of 5113 and 5120.

LCM(5113,5120) = 210×51×51131
LCM(5113,5120) = 26178560

Factors of 5113

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

1, 5113

Factors of 5120

List of positive integer factors of 5120 that divides 5120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120

Least Common Multiple of 5113 and 5120 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 5120, than apply into the LCM equation.

GCF(5113,5120) = 1
LCM(5113,5120) = ( 5113 × 5120) / 1
LCM(5113,5120) = 26178560 / 1
LCM(5113,5120) = 26178560

Properties of LCM 5113 and 5120

(i) The LCM of 5120 and 5113 is associative

LCM of 5113 and 5120 = LCM of 5120 and 5113

Related Least Common Multiples of 5113

Related Least Common Multiples of 5120

Frequently Asked Questions on LCM of 5113 and 5120

1. What is the LCM of 5113 and 5120?

Answer: LCM of 5113 and 5120 is 26178560.

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 5120?

Answer: Factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120. There are 22 integers that are factors of 5120. The greatest factor of 5120 is 5120.

4. How to Find the LCM of 5113 and 5120?

Answer:

Least Common Multiple of 5113 and 5120 = 26178560

Step 1: Find the prime factorization of 5113

5113 = 5113

Step 2: Find the prime factorization of 5120

5120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

LCM = 26178560 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5113

Step 4: Therefore, the least common multiple of 5113 and 5120 is 26178560.