Least Common Multiple of 7113 and 7117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7113 and 7117 the smallest integer that is 50623221 that is divisible by both numbers.

Least Common Multiple (LCM) of 7113 and 7117 is 50623221.

LCM(7113,7117) = 50623221

LCM of 7113 and 7117

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

LCM of:
and

Least Common Multiple of 7113 and 7117

LCM of 7113 and 7117 is 50623221

Least common multiple can be found by multiplying the highest exponent prime factors of 7113 and 7117. First we will calculate the prime factors of 7113 and 7117.

Prime Factorization of 7113


3 7113
2371 2371
1

Prime factors of 7113 are 3,2371. Prime factorization of 7113 in exponential form is:

7113 = 31×23711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7113 and 7117.

LCM(7113,7117) = 31×111×6471×23711
LCM(7113,7117) = 50623221

Factors of 7113

List of positive integer factors of 7113 that divides 7113 without a remainder.

1, 3, 2371, 7113

Factors of 7117

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

1, 11, 647, 7117

Least Common Multiple of 7113 and 7117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7113 and 7117, than apply into the LCM equation.

GCF(7113,7117) = 1
LCM(7113,7117) = ( 7113 × 7117) / 1
LCM(7113,7117) = 50623221 / 1
LCM(7113,7117) = 50623221

Properties of LCM 7113 and 7117

(i) The LCM of 7117 and 7113 is associative

LCM of 7113 and 7117 = LCM of 7117 and 7113

Related Least Common Multiples of 7113

Related Least Common Multiples of 7117

Frequently Asked Questions on LCM of 7113 and 7117

1. What is the LCM of 7113 and 7117?

Answer: LCM of 7113 and 7117 is 50623221.

2. What are the Factors of 7113?

Answer: Factors of 7113 are 1, 3, 2371, 7113. There are 4 integers that are factors of 7113. The greatest factor of 7113 is 7113.

3. 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.

4. How to Find the LCM of 7113 and 7117?

Answer:

Least Common Multiple of 7113 and 7117 = 50623221

Step 1: Find the prime factorization of 7113

7113 = 3 x 2371

Step 2: Find the prime factorization of 7117

7117 = 11 x 647

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

LCM = 50623221 = 3 x 11 x 647 x 2371

Step 4: Therefore, the least common multiple of 7113 and 7117 is 50623221.