Least Common Multiple of 3110 and 3115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3110 and 3115 the smallest integer that is 1937530 that is divisible by both numbers.

Least Common Multiple (LCM) of 3110 and 3115 is 1937530.

LCM(3110,3115) = 1937530

LCM of 3110 and 3115

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

LCM of:
and

Least Common Multiple of 3110 and 3115

LCM of 3110 and 3115 is 1937530

Least common multiple can be found by multiplying the highest exponent prime factors of 3110 and 3115. First we will calculate the prime factors of 3110 and 3115.

Prime Factorization of 3110


2 3110
5 1555
311 311
1

Prime factors of 3110 are 2, 5,311. Prime factorization of 3110 in exponential form is:

3110 = 21×51×3111

Prime Factorization of 3115


5 3115
7 623
89 89
1

Prime factors of 3115 are 5, 7,89. Prime factorization of 3115 in exponential form is:

3115 = 51×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3110 and 3115.

LCM(3110,3115) = 21×51×71×891×3111
LCM(3110,3115) = 1937530

Factors of 3110

List of positive integer factors of 3110 that divides 3110 without a remainder.

1, 2, 5, 10, 311, 622, 1555, 3110

Factors of 3115

List of positive integer factors of 3115 that divides 3115 without a remainder.

1, 5, 7, 35, 89, 445, 623, 3115

Least Common Multiple of 3110 and 3115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3110 and 3115, than apply into the LCM equation.

GCF(3110,3115) = 5
LCM(3110,3115) = ( 3110 × 3115) / 5
LCM(3110,3115) = 9687650 / 5
LCM(3110,3115) = 1937530

Properties of LCM 3110 and 3115

(i) The LCM of 3115 and 3110 is associative

LCM of 3110 and 3115 = LCM of 3115 and 3110

Related Least Common Multiples of 3110

Related Least Common Multiples of 3115

Frequently Asked Questions on LCM of 3110 and 3115

1. What is the LCM of 3110 and 3115?

Answer: LCM of 3110 and 3115 is 1937530.

2. What are the Factors of 3110?

Answer: Factors of 3110 are 1, 2, 5, 10, 311, 622, 1555, 3110. There are 8 integers that are factors of 3110. The greatest factor of 3110 is 3110.

3. What are the Factors of 3115?

Answer: Factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115. There are 8 integers that are factors of 3115. The greatest factor of 3115 is 3115.

4. How to Find the LCM of 3110 and 3115?

Answer:

Least Common Multiple of 3110 and 3115 = 1937530

Step 1: Find the prime factorization of 3110

3110 = 2 x 5 x 311

Step 2: Find the prime factorization of 3115

3115 = 5 x 7 x 89

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

LCM = 1937530 = 2 x 5 x 7 x 89 x 311

Step 4: Therefore, the least common multiple of 3110 and 3115 is 1937530.