Least Common Multiple of 5123 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 5123 and 5130 the smallest integer that is 26280990 that is divisible by both numbers.

Least Common Multiple (LCM) of 5123 and 5130 is 26280990.

LCM(5123,5130) = 26280990

LCM of 5123 and 5130

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

LCM of:
and

Least Common Multiple of 5123 and 5130

LCM of 5123 and 5130 is 26280990

Least common multiple can be found by multiplying the highest exponent prime factors of 5123 and 5130. First we will calculate the prime factors of 5123 and 5130.

Prime Factorization of 5123


47 5123
109 109
1

Prime factors of 5123 are 47,109. Prime factorization of 5123 in exponential form is:

5123 = 471×1091

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 5123 and 5130.

LCM(5123,5130) = 21×33×51×191×471×1091
LCM(5123,5130) = 26280990

Factors of 5123

List of positive integer factors of 5123 that divides 5123 without a remainder.

1, 47, 109, 5123

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 5123 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 5123 and 5130, than apply into the LCM equation.

GCF(5123,5130) = 1
LCM(5123,5130) = ( 5123 × 5130) / 1
LCM(5123,5130) = 26280990 / 1
LCM(5123,5130) = 26280990

Properties of LCM 5123 and 5130

(i) The LCM of 5130 and 5123 is associative

LCM of 5123 and 5130 = LCM of 5130 and 5123

Related Least Common Multiples of 5123

Related Least Common Multiples of 5130

Frequently Asked Questions on LCM of 5123 and 5130

1. What is the LCM of 5123 and 5130?

Answer: LCM of 5123 and 5130 is 26280990.

2. What are the Factors of 5123?

Answer: Factors of 5123 are 1, 47, 109, 5123. There are 4 integers that are factors of 5123. The greatest factor of 5123 is 5123.

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 5123 and 5130?

Answer:

Least Common Multiple of 5123 and 5130 = 26280990

Step 1: Find the prime factorization of 5123

5123 = 47 x 109

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 = 26280990 = 2 x 3 x 3 x 3 x 5 x 19 x 47 x 109

Step 4: Therefore, the least common multiple of 5123 and 5130 is 26280990.