Least Common Multiple of 115 and 117

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 117 the smallest integer that is 13455 that is divisible by both numbers.

Least Common Multiple (LCM) of 115 and 117 is 13455.

LCM(115,117) = 13455

LCM of 115 and 117

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

LCM of:
and

Least Common Multiple of 115 and 117

LCM of 115 and 117 is 13455

Least common multiple can be found by multiplying the highest exponent prime factors of 115 and 117. First we will calculate the prime factors of 115 and 117.

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 117


3 117
3 39
13 13
1

Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:

117 = 32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 115 and 117.

LCM(115,117) = 32×51×131×231
LCM(115,117) = 13455

Factors of 115

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

1, 5, 23, 115

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Least Common Multiple of 115 and 117 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 117, than apply into the LCM equation.

GCF(115,117) = 1
LCM(115,117) = ( 115 × 117) / 1
LCM(115,117) = 13455 / 1
LCM(115,117) = 13455

Properties of LCM 115 and 117

(i) The LCM of 117 and 115 is associative

LCM of 115 and 117 = LCM of 117 and 115

Related Least Common Multiples of 115

Related Least Common Multiples of 117

Frequently Asked Questions on LCM of 115 and 117

1. What is the LCM of 115 and 117?

Answer: LCM of 115 and 117 is 13455.

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 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

4. How to Find the LCM of 115 and 117?

Answer:

Least Common Multiple of 115 and 117 = 13455

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 117

117 = 3 x 3 x 13

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

LCM = 13455 = 3 x 3 x 5 x 13 x 23

Step 4: Therefore, the least common multiple of 115 and 117 is 13455.