Least Common Multiple of 7126 and 7133

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 7133 the smallest integer that is 7261394 that is divisible by both numbers.

Least Common Multiple (LCM) of 7126 and 7133 is 7261394.

LCM(7126,7133) = 7261394

LCM of 7126 and 7133

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

LCM of:
and

Least Common Multiple of 7126 and 7133

LCM of 7126 and 7133 is 7261394

Least common multiple can be found by multiplying the highest exponent prime factors of 7126 and 7133. First we will calculate the prime factors of 7126 and 7133.

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 7133


7 7133
1019 1019
1

Prime factors of 7133 are 7,1019. Prime factorization of 7133 in exponential form is:

7133 = 71×10191

Now multiplying the highest exponent prime factors to calculate the LCM of 7126 and 7133.

LCM(7126,7133) = 21×71×5091×10191
LCM(7126,7133) = 7261394

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 7133

List of positive integer factors of 7133 that divides 7133 without a remainder.

1, 7, 1019, 7133

Least Common Multiple of 7126 and 7133 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 7133, than apply into the LCM equation.

GCF(7126,7133) = 7
LCM(7126,7133) = ( 7126 × 7133) / 7
LCM(7126,7133) = 50829758 / 7
LCM(7126,7133) = 7261394

Properties of LCM 7126 and 7133

(i) The LCM of 7133 and 7126 is associative

LCM of 7126 and 7133 = LCM of 7133 and 7126

Related Least Common Multiples of 7126

Related Least Common Multiples of 7133

Frequently Asked Questions on LCM of 7126 and 7133

1. What is the LCM of 7126 and 7133?

Answer: LCM of 7126 and 7133 is 7261394.

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 7133?

Answer: Factors of 7133 are 1, 7, 1019, 7133. There are 4 integers that are factors of 7133. The greatest factor of 7133 is 7133.

4. How to Find the LCM of 7126 and 7133?

Answer:

Least Common Multiple of 7126 and 7133 = 7261394

Step 1: Find the prime factorization of 7126

7126 = 2 x 7 x 509

Step 2: Find the prime factorization of 7133

7133 = 7 x 1019

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

LCM = 7261394 = 2 x 7 x 509 x 1019

Step 4: Therefore, the least common multiple of 7126 and 7133 is 7261394.