Least Common Multiple of 7123 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 7123 and 7130 the smallest integer that is 50786990 that is divisible by both numbers.

Least Common Multiple (LCM) of 7123 and 7130 is 50786990.

LCM(7123,7130) = 50786990

LCM of 7123 and 7130

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

LCM of:
and

Least Common Multiple of 7123 and 7130

LCM of 7123 and 7130 is 50786990

Least common multiple can be found by multiplying the highest exponent prime factors of 7123 and 7130. First we will calculate the prime factors of 7123 and 7130.

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 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 7123 and 7130.

LCM(7123,7130) = 21×51×171×231×311×4191
LCM(7123,7130) = 50786990

Factors of 7123

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

1, 17, 419, 7123

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 7123 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 7123 and 7130, than apply into the LCM equation.

GCF(7123,7130) = 1
LCM(7123,7130) = ( 7123 × 7130) / 1
LCM(7123,7130) = 50786990 / 1
LCM(7123,7130) = 50786990

Properties of LCM 7123 and 7130

(i) The LCM of 7130 and 7123 is associative

LCM of 7123 and 7130 = LCM of 7130 and 7123

Related Least Common Multiples of 7123

Related Least Common Multiples of 7130

Frequently Asked Questions on LCM of 7123 and 7130

1. What is the LCM of 7123 and 7130?

Answer: LCM of 7123 and 7130 is 50786990.

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 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 7123 and 7130?

Answer:

Least Common Multiple of 7123 and 7130 = 50786990

Step 1: Find the prime factorization of 7123

7123 = 17 x 419

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 = 50786990 = 2 x 5 x 17 x 23 x 31 x 419

Step 4: Therefore, the least common multiple of 7123 and 7130 is 50786990.