Least Common Multiple of 7106 and 7113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7106 and 7113 the smallest integer that is 50544978 that is divisible by both numbers.

Least Common Multiple (LCM) of 7106 and 7113 is 50544978.

LCM(7106,7113) = 50544978

LCM of 7106 and 7113

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

LCM of:
and

Least Common Multiple of 7106 and 7113

LCM of 7106 and 7113 is 50544978

Least common multiple can be found by multiplying the highest exponent prime factors of 7106 and 7113. First we will calculate the prime factors of 7106 and 7113.

Prime Factorization of 7106


2 7106
11 3553
17 323
19 19
1

Prime factors of 7106 are 2, 11, 17,19. Prime factorization of 7106 in exponential form is:

7106 = 21×111×171×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7106 and 7113.

LCM(7106,7113) = 21×31×111×171×191×23711
LCM(7106,7113) = 50544978

Factors of 7106

List of positive integer factors of 7106 that divides 7106 without a remainder.

1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106

Factors of 7113

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

1, 3, 2371, 7113

Least Common Multiple of 7106 and 7113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7106 and 7113, than apply into the LCM equation.

GCF(7106,7113) = 1
LCM(7106,7113) = ( 7106 × 7113) / 1
LCM(7106,7113) = 50544978 / 1
LCM(7106,7113) = 50544978

Properties of LCM 7106 and 7113

(i) The LCM of 7113 and 7106 is associative

LCM of 7106 and 7113 = LCM of 7113 and 7106

Related Least Common Multiples of 7106

Related Least Common Multiples of 7113

Frequently Asked Questions on LCM of 7106 and 7113

1. What is the LCM of 7106 and 7113?

Answer: LCM of 7106 and 7113 is 50544978.

2. What are the Factors of 7106?

Answer: Factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106. There are 16 integers that are factors of 7106. The greatest factor of 7106 is 7106.

3. 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.

4. How to Find the LCM of 7106 and 7113?

Answer:

Least Common Multiple of 7106 and 7113 = 50544978

Step 1: Find the prime factorization of 7106

7106 = 2 x 11 x 17 x 19

Step 2: Find the prime factorization of 7113

7113 = 3 x 2371

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

LCM = 50544978 = 2 x 3 x 11 x 17 x 19 x 2371

Step 4: Therefore, the least common multiple of 7106 and 7113 is 50544978.