Least Common Multiple of 7130 and 7134

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 7134 the smallest integer that is 25432710 that is divisible by both numbers.

Least Common Multiple (LCM) of 7130 and 7134 is 25432710.

LCM(7130,7134) = 25432710

LCM of 7130 and 7134

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

LCM of:
and

Least Common Multiple of 7130 and 7134

LCM of 7130 and 7134 is 25432710

Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7134. First we will calculate the prime factors of 7130 and 7134.

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 7134


2 7134
3 3567
29 1189
41 41
1

Prime factors of 7134 are 2, 3, 29,41. Prime factorization of 7134 in exponential form is:

7134 = 21×31×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7134.

LCM(7130,7134) = 21×31×51×231×291×311×411
LCM(7130,7134) = 25432710

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 7134

List of positive integer factors of 7134 that divides 7134 without a remainder.

1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

Least Common Multiple of 7130 and 7134 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 7134, than apply into the LCM equation.

GCF(7130,7134) = 2
LCM(7130,7134) = ( 7130 × 7134) / 2
LCM(7130,7134) = 50865420 / 2
LCM(7130,7134) = 25432710

Properties of LCM 7130 and 7134

(i) The LCM of 7134 and 7130 is associative

LCM of 7130 and 7134 = LCM of 7134 and 7130

Related Least Common Multiples of 7130

Related Least Common Multiples of 7134

Frequently Asked Questions on LCM of 7130 and 7134

1. What is the LCM of 7130 and 7134?

Answer: LCM of 7130 and 7134 is 25432710.

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 7134?

Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.

4. How to Find the LCM of 7130 and 7134?

Answer:

Least Common Multiple of 7130 and 7134 = 25432710

Step 1: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

Step 2: Find the prime factorization of 7134

7134 = 2 x 3 x 29 x 41

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

LCM = 25432710 = 2 x 3 x 5 x 23 x 29 x 31 x 41

Step 4: Therefore, the least common multiple of 7130 and 7134 is 25432710.