Least Common Multiple of 7130 and 7138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7130 and 7138 the smallest integer that is 25446970 that is divisible by both numbers.

Least Common Multiple (LCM) of 7130 and 7138 is 25446970.

LCM(7130,7138) = 25446970

LCM of 7130 and 7138

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

LCM of:
and

Least Common Multiple of 7130 and 7138

LCM of 7130 and 7138 is 25446970

Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7138. First we will calculate the prime factors of 7130 and 7138.

Prime Factorization of 7130


2 7130
5 3565
23 713
31 31
1

Prime factors of 7130 are 2, 5, 23,31. Prime factorization of 7130 in exponential form is:

7130 = 21×51×231×311

Prime Factorization of 7138


2 7138
43 3569
83 83
1

Prime factors of 7138 are 2, 43,83. Prime factorization of 7138 in exponential form is:

7138 = 21×431×831

Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7138.

LCM(7130,7138) = 21×51×231×311×431×831
LCM(7130,7138) = 25446970

Factors of 7130

List of positive integer factors of 7130 that divides 7130 without a remainder.

1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1, 2, 43, 83, 86, 166, 3569, 7138

Least Common Multiple of 7130 and 7138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7130 and 7138, than apply into the LCM equation.

GCF(7130,7138) = 2
LCM(7130,7138) = ( 7130 × 7138) / 2
LCM(7130,7138) = 50893940 / 2
LCM(7130,7138) = 25446970

Properties of LCM 7130 and 7138

(i) The LCM of 7138 and 7130 is associative

LCM of 7130 and 7138 = LCM of 7138 and 7130

Related Least Common Multiples of 7130

Related Least Common Multiples of 7138

Frequently Asked Questions on LCM of 7130 and 7138

1. What is the LCM of 7130 and 7138?

Answer: LCM of 7130 and 7138 is 25446970.

2. What are the Factors of 7130?

Answer: Factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130. There are 16 integers that are factors of 7130. The greatest factor of 7130 is 7130.

3. What are the Factors of 7138?

Answer: Factors of 7138 are 1, 2, 43, 83, 86, 166, 3569, 7138. There are 8 integers that are factors of 7138. The greatest factor of 7138 is 7138.

4. How to Find the LCM of 7130 and 7138?

Answer:

Least Common Multiple of 7130 and 7138 = 25446970

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7138

7138 = 2 x 43 x 83

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

LCM = 25446970 = 2 x 5 x 23 x 31 x 43 x 83

Step 4: Therefore, the least common multiple of 7130 and 7138 is 25446970.