Least Common Multiple of 7113 and 7118

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 7118 the smallest integer that is 50630334 that is divisible by both numbers.

Least Common Multiple (LCM) of 7113 and 7118 is 50630334.

LCM(7113,7118) = 50630334

LCM of 7113 and 7118

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

LCM of:
and

Least Common Multiple of 7113 and 7118

LCM of 7113 and 7118 is 50630334

Least common multiple can be found by multiplying the highest exponent prime factors of 7113 and 7118. First we will calculate the prime factors of 7113 and 7118.

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 7118


2 7118
3559 3559
1

Prime factors of 7118 are 2,3559. Prime factorization of 7118 in exponential form is:

7118 = 21×35591

Now multiplying the highest exponent prime factors to calculate the LCM of 7113 and 7118.

LCM(7113,7118) = 21×31×23711×35591
LCM(7113,7118) = 50630334

Factors of 7113

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

1, 3, 2371, 7113

Factors of 7118

List of positive integer factors of 7118 that divides 7118 without a remainder.

1, 2, 3559, 7118

Least Common Multiple of 7113 and 7118 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 7118, than apply into the LCM equation.

GCF(7113,7118) = 1
LCM(7113,7118) = ( 7113 × 7118) / 1
LCM(7113,7118) = 50630334 / 1
LCM(7113,7118) = 50630334

Properties of LCM 7113 and 7118

(i) The LCM of 7118 and 7113 is associative

LCM of 7113 and 7118 = LCM of 7118 and 7113

Related Least Common Multiples of 7113

Related Least Common Multiples of 7118

Frequently Asked Questions on LCM of 7113 and 7118

1. What is the LCM of 7113 and 7118?

Answer: LCM of 7113 and 7118 is 50630334.

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 7118?

Answer: Factors of 7118 are 1, 2, 3559, 7118. There are 4 integers that are factors of 7118. The greatest factor of 7118 is 7118.

4. How to Find the LCM of 7113 and 7118?

Answer:

Least Common Multiple of 7113 and 7118 = 50630334

Step 1: Find the prime factorization of 7113

7113 = 3 x 2371

Step 2: Find the prime factorization of 7118

7118 = 2 x 3559

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

LCM = 50630334 = 2 x 3 x 2371 x 3559

Step 4: Therefore, the least common multiple of 7113 and 7118 is 50630334.