Least Common Multiple of 7123 and 7127

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 7127 the smallest integer that is 50765621 that is divisible by both numbers.

Least Common Multiple (LCM) of 7123 and 7127 is 50765621.

LCM(7123,7127) = 50765621

LCM of 7123 and 7127

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

LCM of:
and

Least Common Multiple of 7123 and 7127

LCM of 7123 and 7127 is 50765621

Least common multiple can be found by multiplying the highest exponent prime factors of 7123 and 7127. First we will calculate the prime factors of 7123 and 7127.

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 7127


7127 7127
1

Prime factors of 7127 are 7127. Prime factorization of 7127 in exponential form is:

7127 = 71271

Now multiplying the highest exponent prime factors to calculate the LCM of 7123 and 7127.

LCM(7123,7127) = 171×4191×71271
LCM(7123,7127) = 50765621

Factors of 7123

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

1, 17, 419, 7123

Factors of 7127

List of positive integer factors of 7127 that divides 7127 without a remainder.

1, 7127

Least Common Multiple of 7123 and 7127 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 7127, than apply into the LCM equation.

GCF(7123,7127) = 1
LCM(7123,7127) = ( 7123 × 7127) / 1
LCM(7123,7127) = 50765621 / 1
LCM(7123,7127) = 50765621

Properties of LCM 7123 and 7127

(i) The LCM of 7127 and 7123 is associative

LCM of 7123 and 7127 = LCM of 7127 and 7123

Related Least Common Multiples of 7123

Related Least Common Multiples of 7127

Frequently Asked Questions on LCM of 7123 and 7127

1. What is the LCM of 7123 and 7127?

Answer: LCM of 7123 and 7127 is 50765621.

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 7127?

Answer: Factors of 7127 are 1, 7127. There are 2 integers that are factors of 7127. The greatest factor of 7127 is 7127.

4. How to Find the LCM of 7123 and 7127?

Answer:

Least Common Multiple of 7123 and 7127 = 50765621

Step 1: Find the prime factorization of 7123

7123 = 17 x 419

Step 2: Find the prime factorization of 7127

7127 = 7127

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

LCM = 50765621 = 17 x 419 x 7127

Step 4: Therefore, the least common multiple of 7123 and 7127 is 50765621.