Least Common Multiple of 115 and 116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 115 and 116 the smallest integer that is 13340 that is divisible by both numbers.

Least Common Multiple (LCM) of 115 and 116 is 13340.

LCM(115,116) = 13340

LCM of 115 and 116

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

LCM of:
and

Least Common Multiple of 115 and 116

LCM of 115 and 116 is 13340

Least common multiple can be found by multiplying the highest exponent prime factors of 115 and 116. First we will calculate the prime factors of 115 and 116.

Prime Factorization of 115


5 115
23 23
1

Prime factors of 115 are 5,23. Prime factorization of 115 in exponential form is:

115 = 51×231

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

Now multiplying the highest exponent prime factors to calculate the LCM of 115 and 116.

LCM(115,116) = 22×51×231×291
LCM(115,116) = 13340

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Least Common Multiple of 115 and 116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 115 and 116, than apply into the LCM equation.

GCF(115,116) = 1
LCM(115,116) = ( 115 × 116) / 1
LCM(115,116) = 13340 / 1
LCM(115,116) = 13340

Properties of LCM 115 and 116

(i) The LCM of 116 and 115 is associative

LCM of 115 and 116 = LCM of 116 and 115

Related Least Common Multiples of 115

Related Least Common Multiples of 116

Frequently Asked Questions on LCM of 115 and 116

1. What is the LCM of 115 and 116?

Answer: LCM of 115 and 116 is 13340.

2. What are the Factors of 115?

Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.

3. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

4. How to Find the LCM of 115 and 116?

Answer:

Least Common Multiple of 115 and 116 = 13340

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 116

116 = 2 x 2 x 29

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

LCM = 13340 = 2 x 2 x 5 x 23 x 29

Step 4: Therefore, the least common multiple of 115 and 116 is 13340.