Least Common Multiple of 115 and 119

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 119 the smallest integer that is 13685 that is divisible by both numbers.

Least Common Multiple (LCM) of 115 and 119 is 13685.

LCM(115,119) = 13685

LCM of 115 and 119

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

LCM of:
and

Least Common Multiple of 115 and 119

LCM of 115 and 119 is 13685

Least common multiple can be found by multiplying the highest exponent prime factors of 115 and 119. First we will calculate the prime factors of 115 and 119.

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 119


7 119
17 17
1

Prime factors of 119 are 7,17. Prime factorization of 119 in exponential form is:

119 = 71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 115 and 119.

LCM(115,119) = 51×71×171×231
LCM(115,119) = 13685

Factors of 115

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

1, 5, 23, 115

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Least Common Multiple of 115 and 119 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 119, than apply into the LCM equation.

GCF(115,119) = 1
LCM(115,119) = ( 115 × 119) / 1
LCM(115,119) = 13685 / 1
LCM(115,119) = 13685

Properties of LCM 115 and 119

(i) The LCM of 119 and 115 is associative

LCM of 115 and 119 = LCM of 119 and 115

Related Least Common Multiples of 115

Related Least Common Multiples of 119

Frequently Asked Questions on LCM of 115 and 119

1. What is the LCM of 115 and 119?

Answer: LCM of 115 and 119 is 13685.

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 119?

Answer: Factors of 119 are 1, 7, 17, 119. There are 4 integers that are factors of 119. The greatest factor of 119 is 119.

4. How to Find the LCM of 115 and 119?

Answer:

Least Common Multiple of 115 and 119 = 13685

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 119

119 = 7 x 17

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

LCM = 13685 = 5 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 115 and 119 is 13685.