Least Common Multiple of 7117 and 7123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7117 and 7123 the smallest integer that is 50694391 that is divisible by both numbers.

Least Common Multiple (LCM) of 7117 and 7123 is 50694391.

LCM(7117,7123) = 50694391

LCM of 7117 and 7123

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

LCM of:
and

Least Common Multiple of 7117 and 7123

LCM of 7117 and 7123 is 50694391

Least common multiple can be found by multiplying the highest exponent prime factors of 7117 and 7123. First we will calculate the prime factors of 7117 and 7123.

Prime Factorization of 7117


11 7117
647 647
1

Prime factors of 7117 are 11,647. Prime factorization of 7117 in exponential form is:

7117 = 111×6471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7117 and 7123.

LCM(7117,7123) = 111×171×4191×6471
LCM(7117,7123) = 50694391

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1, 11, 647, 7117

Factors of 7123

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

1, 17, 419, 7123

Least Common Multiple of 7117 and 7123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7117 and 7123, than apply into the LCM equation.

GCF(7117,7123) = 1
LCM(7117,7123) = ( 7117 × 7123) / 1
LCM(7117,7123) = 50694391 / 1
LCM(7117,7123) = 50694391

Properties of LCM 7117 and 7123

(i) The LCM of 7123 and 7117 is associative

LCM of 7117 and 7123 = LCM of 7123 and 7117

Related Least Common Multiples of 7117

Related Least Common Multiples of 7123

Frequently Asked Questions on LCM of 7117 and 7123

1. What is the LCM of 7117 and 7123?

Answer: LCM of 7117 and 7123 is 50694391.

2. What are the Factors of 7117?

Answer: Factors of 7117 are 1, 11, 647, 7117. There are 4 integers that are factors of 7117. The greatest factor of 7117 is 7117.

3. 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.

4. How to Find the LCM of 7117 and 7123?

Answer:

Least Common Multiple of 7117 and 7123 = 50694391

Step 1: Find the prime factorization of 7117

7117 = 11 x 647

Step 2: Find the prime factorization of 7123

7123 = 17 x 419

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

LCM = 50694391 = 11 x 17 x 419 x 647

Step 4: Therefore, the least common multiple of 7117 and 7123 is 50694391.