Least Common Multiple of 3115 and 3118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3115 and 3118 the smallest integer that is 9712570 that is divisible by both numbers.

Least Common Multiple (LCM) of 3115 and 3118 is 9712570.

LCM(3115,3118) = 9712570

LCM of 3115 and 3118

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

LCM of:
and

Least Common Multiple of 3115 and 3118

LCM of 3115 and 3118 is 9712570

Least common multiple can be found by multiplying the highest exponent prime factors of 3115 and 3118. First we will calculate the prime factors of 3115 and 3118.

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

Prime Factorization of 3118


2 3118
1559 1559
1

Prime factors of 3118 are 2,1559. Prime factorization of 3118 in exponential form is:

3118 = 21×15591

Now multiplying the highest exponent prime factors to calculate the LCM of 3115 and 3118.

LCM(3115,3118) = 21×51×71×891×15591
LCM(3115,3118) = 9712570

Factors of 3115

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

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

Factors of 3118

List of positive integer factors of 3118 that divides 3118 without a remainder.

1, 2, 1559, 3118

Least Common Multiple of 3115 and 3118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3115 and 3118, than apply into the LCM equation.

GCF(3115,3118) = 1
LCM(3115,3118) = ( 3115 × 3118) / 1
LCM(3115,3118) = 9712570 / 1
LCM(3115,3118) = 9712570

Properties of LCM 3115 and 3118

(i) The LCM of 3118 and 3115 is associative

LCM of 3115 and 3118 = LCM of 3118 and 3115

Related Least Common Multiples of 3115

Related Least Common Multiples of 3118

Frequently Asked Questions on LCM of 3115 and 3118

1. What is the LCM of 3115 and 3118?

Answer: LCM of 3115 and 3118 is 9712570.

2. 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.

3. What are the Factors of 3118?

Answer: Factors of 3118 are 1, 2, 1559, 3118. There are 4 integers that are factors of 3118. The greatest factor of 3118 is 3118.

4. How to Find the LCM of 3115 and 3118?

Answer:

Least Common Multiple of 3115 and 3118 = 9712570

Step 1: Find the prime factorization of 3115

3115 = 5 x 7 x 89

Step 2: Find the prime factorization of 3118

3118 = 2 x 1559

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

LCM = 9712570 = 2 x 5 x 7 x 89 x 1559

Step 4: Therefore, the least common multiple of 3115 and 3118 is 9712570.