Least Common Multiple of 7123 and 7131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7123 and 7131 the smallest integer that is 50794113 that is divisible by both numbers.

Least Common Multiple (LCM) of 7123 and 7131 is 50794113.

LCM(7123,7131) = 50794113

LCM of 7123 and 7131

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

LCM of:
and

Least Common Multiple of 7123 and 7131

LCM of 7123 and 7131 is 50794113

Least common multiple can be found by multiplying the highest exponent prime factors of 7123 and 7131. First we will calculate the prime factors of 7123 and 7131.

Prime Factorization of 7123


17 7123
419 419
1

Prime factors of 7123 are 17,419. Prime factorization of 7123 in exponential form is:

7123 = 171×4191

Prime Factorization of 7131


3 7131
2377 2377
1

Prime factors of 7131 are 3,2377. Prime factorization of 7131 in exponential form is:

7131 = 31×23771

Now multiplying the highest exponent prime factors to calculate the LCM of 7123 and 7131.

LCM(7123,7131) = 31×171×4191×23771
LCM(7123,7131) = 50794113

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1, 17, 419, 7123

Factors of 7131

List of positive integer factors of 7131 that divides 7131 without a remainder.

1, 3, 2377, 7131

Least Common Multiple of 7123 and 7131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7123 and 7131, than apply into the LCM equation.

GCF(7123,7131) = 1
LCM(7123,7131) = ( 7123 × 7131) / 1
LCM(7123,7131) = 50794113 / 1
LCM(7123,7131) = 50794113

Properties of LCM 7123 and 7131

(i) The LCM of 7131 and 7123 is associative

LCM of 7123 and 7131 = LCM of 7131 and 7123

Related Least Common Multiples of 7123

Related Least Common Multiples of 7131

Frequently Asked Questions on LCM of 7123 and 7131

1. What is the LCM of 7123 and 7131?

Answer: LCM of 7123 and 7131 is 50794113.

2. What are the Factors of 7123?

Answer: Factors of 7123 are 1, 17, 419, 7123. There are 4 integers that are factors of 7123. The greatest factor of 7123 is 7123.

3. What are the Factors of 7131?

Answer: Factors of 7131 are 1, 3, 2377, 7131. There are 4 integers that are factors of 7131. The greatest factor of 7131 is 7131.

4. How to Find the LCM of 7123 and 7131?

Answer:

Least Common Multiple of 7123 and 7131 = 50794113

Step 1: Find the prime factorization of 7123

7123 = 17 x 419

Step 2: Find the prime factorization of 7131

7131 = 3 x 2377

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

LCM = 50794113 = 3 x 17 x 419 x 2377

Step 4: Therefore, the least common multiple of 7123 and 7131 is 50794113.