Least Common Multiple of 5122 and 5130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5122 and 5130 the smallest integer that is 13137930 that is divisible by both numbers.

Least Common Multiple (LCM) of 5122 and 5130 is 13137930.

LCM(5122,5130) = 13137930

LCM of 5122 and 5130

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

LCM of:
and

Least Common Multiple of 5122 and 5130

LCM of 5122 and 5130 is 13137930

Least common multiple can be found by multiplying the highest exponent prime factors of 5122 and 5130. First we will calculate the prime factors of 5122 and 5130.

Prime Factorization of 5122


2 5122
13 2561
197 197
1

Prime factors of 5122 are 2, 13,197. Prime factorization of 5122 in exponential form is:

5122 = 21×131×1971

Prime Factorization of 5130


2 5130
3 2565
3 855
3 285
5 95
19 19
1

Prime factors of 5130 are 2, 3, 5,19. Prime factorization of 5130 in exponential form is:

5130 = 21×33×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5122 and 5130.

LCM(5122,5130) = 21×33×51×131×191×1971
LCM(5122,5130) = 13137930

Factors of 5122

List of positive integer factors of 5122 that divides 5122 without a remainder.

1, 2, 13, 26, 197, 394, 2561, 5122

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130

Least Common Multiple of 5122 and 5130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5122 and 5130, than apply into the LCM equation.

GCF(5122,5130) = 2
LCM(5122,5130) = ( 5122 × 5130) / 2
LCM(5122,5130) = 26275860 / 2
LCM(5122,5130) = 13137930

Properties of LCM 5122 and 5130

(i) The LCM of 5130 and 5122 is associative

LCM of 5122 and 5130 = LCM of 5130 and 5122

Related Least Common Multiples of 5122

Related Least Common Multiples of 5130

Frequently Asked Questions on LCM of 5122 and 5130

1. What is the LCM of 5122 and 5130?

Answer: LCM of 5122 and 5130 is 13137930.

2. What are the Factors of 5122?

Answer: Factors of 5122 are 1, 2, 13, 26, 197, 394, 2561, 5122. There are 8 integers that are factors of 5122. The greatest factor of 5122 is 5122.

3. What are the Factors of 5130?

Answer: Factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130. There are 32 integers that are factors of 5130. The greatest factor of 5130 is 5130.

4. How to Find the LCM of 5122 and 5130?

Answer:

Least Common Multiple of 5122 and 5130 = 13137930

Step 1: Find the prime factorization of 5122

5122 = 2 x 13 x 197

Step 2: Find the prime factorization of 5130

5130 = 2 x 3 x 3 x 3 x 5 x 19

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

LCM = 13137930 = 2 x 3 x 3 x 3 x 5 x 13 x 19 x 197

Step 4: Therefore, the least common multiple of 5122 and 5130 is 13137930.