Least Common Multiple of 7126 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 7126 and 7134 the smallest integer that is 25418442 that is divisible by both numbers.

Least Common Multiple (LCM) of 7126 and 7134 is 25418442.

LCM(7126,7134) = 25418442

LCM of 7126 and 7134

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

LCM of:
and

Least Common Multiple of 7126 and 7134

LCM of 7126 and 7134 is 25418442

Least common multiple can be found by multiplying the highest exponent prime factors of 7126 and 7134. First we will calculate the prime factors of 7126 and 7134.

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 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 7126 and 7134.

LCM(7126,7134) = 21×31×71×291×411×5091
LCM(7126,7134) = 25418442

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 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 7126 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 7126 and 7134, than apply into the LCM equation.

GCF(7126,7134) = 2
LCM(7126,7134) = ( 7126 × 7134) / 2
LCM(7126,7134) = 50836884 / 2
LCM(7126,7134) = 25418442

Properties of LCM 7126 and 7134

(i) The LCM of 7134 and 7126 is associative

LCM of 7126 and 7134 = LCM of 7134 and 7126

Related Least Common Multiples of 7126

Related Least Common Multiples of 7134

Frequently Asked Questions on LCM of 7126 and 7134

1. What is the LCM of 7126 and 7134?

Answer: LCM of 7126 and 7134 is 25418442.

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 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 7126 and 7134?

Answer:

Least Common Multiple of 7126 and 7134 = 25418442

Step 1: Find the prime factorization of 7126

7126 = 2 x 7 x 509

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 = 25418442 = 2 x 3 x 7 x 29 x 41 x 509

Step 4: Therefore, the least common multiple of 7126 and 7134 is 25418442.