Least Common Multiple of 3113 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 3113 and 3118 the smallest integer that is 9706334 that is divisible by both numbers.

Least Common Multiple (LCM) of 3113 and 3118 is 9706334.

LCM(3113,3118) = 9706334

LCM of 3113 and 3118

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

LCM of:
and

Least Common Multiple of 3113 and 3118

LCM of 3113 and 3118 is 9706334

Least common multiple can be found by multiplying the highest exponent prime factors of 3113 and 3118. First we will calculate the prime factors of 3113 and 3118.

Prime Factorization of 3113


11 3113
283 283
1

Prime factors of 3113 are 11,283. Prime factorization of 3113 in exponential form is:

3113 = 111×2831

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 3113 and 3118.

LCM(3113,3118) = 21×111×2831×15591
LCM(3113,3118) = 9706334

Factors of 3113

List of positive integer factors of 3113 that divides 3113 without a remainder.

1, 11, 283, 3113

Factors of 3118

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

1, 2, 1559, 3118

Least Common Multiple of 3113 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 3113 and 3118, than apply into the LCM equation.

GCF(3113,3118) = 1
LCM(3113,3118) = ( 3113 × 3118) / 1
LCM(3113,3118) = 9706334 / 1
LCM(3113,3118) = 9706334

Properties of LCM 3113 and 3118

(i) The LCM of 3118 and 3113 is associative

LCM of 3113 and 3118 = LCM of 3118 and 3113

Related Least Common Multiples of 3113

Related Least Common Multiples of 3118

Frequently Asked Questions on LCM of 3113 and 3118

1. What is the LCM of 3113 and 3118?

Answer: LCM of 3113 and 3118 is 9706334.

2. What are the Factors of 3113?

Answer: Factors of 3113 are 1, 11, 283, 3113. There are 4 integers that are factors of 3113. The greatest factor of 3113 is 3113.

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 3113 and 3118?

Answer:

Least Common Multiple of 3113 and 3118 = 9706334

Step 1: Find the prime factorization of 3113

3113 = 11 x 283

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 = 9706334 = 2 x 11 x 283 x 1559

Step 4: Therefore, the least common multiple of 3113 and 3118 is 9706334.