Least Common Multiple of 7111 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 7111 and 7118 the smallest integer that is 50616098 that is divisible by both numbers.

Least Common Multiple (LCM) of 7111 and 7118 is 50616098.

LCM(7111,7118) = 50616098

LCM of 7111 and 7118

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

LCM of:
and

Least Common Multiple of 7111 and 7118

LCM of 7111 and 7118 is 50616098

Least common multiple can be found by multiplying the highest exponent prime factors of 7111 and 7118. First we will calculate the prime factors of 7111 and 7118.

Prime Factorization of 7111


13 7111
547 547
1

Prime factors of 7111 are 13,547. Prime factorization of 7111 in exponential form is:

7111 = 131×5471

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 7111 and 7118.

LCM(7111,7118) = 21×131×5471×35591
LCM(7111,7118) = 50616098

Factors of 7111

List of positive integer factors of 7111 that divides 7111 without a remainder.

1, 13, 547, 7111

Factors of 7118

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

1, 2, 3559, 7118

Least Common Multiple of 7111 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 7111 and 7118, than apply into the LCM equation.

GCF(7111,7118) = 1
LCM(7111,7118) = ( 7111 × 7118) / 1
LCM(7111,7118) = 50616098 / 1
LCM(7111,7118) = 50616098

Properties of LCM 7111 and 7118

(i) The LCM of 7118 and 7111 is associative

LCM of 7111 and 7118 = LCM of 7118 and 7111

Related Least Common Multiples of 7111

Related Least Common Multiples of 7118

Frequently Asked Questions on LCM of 7111 and 7118

1. What is the LCM of 7111 and 7118?

Answer: LCM of 7111 and 7118 is 50616098.

2. What are the Factors of 7111?

Answer: Factors of 7111 are 1, 13, 547, 7111. There are 4 integers that are factors of 7111. The greatest factor of 7111 is 7111.

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 7111 and 7118?

Answer:

Least Common Multiple of 7111 and 7118 = 50616098

Step 1: Find the prime factorization of 7111

7111 = 13 x 547

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 = 50616098 = 2 x 13 x 547 x 3559

Step 4: Therefore, the least common multiple of 7111 and 7118 is 50616098.