Least Common Multiple of 110 and 115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 110 and 115 the smallest integer that is 2530 that is divisible by both numbers.

Least Common Multiple (LCM) of 110 and 115 is 2530.

LCM(110,115) = 2530

LCM of 110 and 115

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

LCM of:
and

Least Common Multiple of 110 and 115

LCM of 110 and 115 is 2530

Least common multiple can be found by multiplying the highest exponent prime factors of 110 and 115. First we will calculate the prime factors of 110 and 115.

Prime Factorization of 110


2 110
5 55
11 11
1

Prime factors of 110 are 2, 5,11. Prime factorization of 110 in exponential form is:

110 = 21×51×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 110 and 115.

LCM(110,115) = 21×51×111×231
LCM(110,115) = 2530

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Factors of 115

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

1, 5, 23, 115

Least Common Multiple of 110 and 115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 110 and 115, than apply into the LCM equation.

GCF(110,115) = 5
LCM(110,115) = ( 110 × 115) / 5
LCM(110,115) = 12650 / 5
LCM(110,115) = 2530

Properties of LCM 110 and 115

(i) The LCM of 115 and 110 is associative

LCM of 110 and 115 = LCM of 115 and 110

Related Least Common Multiples of 110

Related Least Common Multiples of 115

Frequently Asked Questions on LCM of 110 and 115

1. What is the LCM of 110 and 115?

Answer: LCM of 110 and 115 is 2530.

2. What are the Factors of 110?

Answer: Factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110. There are 8 integers that are factors of 110. The greatest factor of 110 is 110.

3. 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.

4. How to Find the LCM of 110 and 115?

Answer:

Least Common Multiple of 110 and 115 = 2530

Step 1: Find the prime factorization of 110

110 = 2 x 5 x 11

Step 2: Find the prime factorization of 115

115 = 5 x 23

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

LCM = 2530 = 2 x 5 x 11 x 23

Step 4: Therefore, the least common multiple of 110 and 115 is 2530.