Least Common Multiple of 7126 and 7130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7126 and 7130 the smallest integer that is 25404190 that is divisible by both numbers.

Least Common Multiple (LCM) of 7126 and 7130 is 25404190.

LCM(7126,7130) = 25404190

LCM of 7126 and 7130

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

LCM of:
and

Least Common Multiple of 7126 and 7130

LCM of 7126 and 7130 is 25404190

Least common multiple can be found by multiplying the highest exponent prime factors of 7126 and 7130. First we will calculate the prime factors of 7126 and 7130.

Prime Factorization of 7126


2 7126
7 3563
509 509
1

Prime factors of 7126 are 2, 7,509. Prime factorization of 7126 in exponential form is:

7126 = 21×71×5091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7126 and 7130.

LCM(7126,7130) = 21×51×71×231×311×5091
LCM(7126,7130) = 25404190

Factors of 7126

List of positive integer factors of 7126 that divides 7126 without a remainder.

1, 2, 7, 14, 509, 1018, 3563, 7126

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

Least Common Multiple of 7126 and 7130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7126 and 7130, than apply into the LCM equation.

GCF(7126,7130) = 2
LCM(7126,7130) = ( 7126 × 7130) / 2
LCM(7126,7130) = 50808380 / 2
LCM(7126,7130) = 25404190

Properties of LCM 7126 and 7130

(i) The LCM of 7130 and 7126 is associative

LCM of 7126 and 7130 = LCM of 7130 and 7126

Related Least Common Multiples of 7126

Related Least Common Multiples of 7130

Frequently Asked Questions on LCM of 7126 and 7130

1. What is the LCM of 7126 and 7130?

Answer: LCM of 7126 and 7130 is 25404190.

2. What are the Factors of 7126?

Answer: Factors of 7126 are 1, 2, 7, 14, 509, 1018, 3563, 7126. There are 8 integers that are factors of 7126. The greatest factor of 7126 is 7126.

3. 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.

4. How to Find the LCM of 7126 and 7130?

Answer:

Least Common Multiple of 7126 and 7130 = 25404190

Step 1: Find the prime factorization of 7126

7126 = 2 x 7 x 509

Step 2: Find the prime factorization of 7130

7130 = 2 x 5 x 23 x 31

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

LCM = 25404190 = 2 x 5 x 7 x 23 x 31 x 509

Step 4: Therefore, the least common multiple of 7126 and 7130 is 25404190.