Least Common Multiple of 3113 and 3121

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 3121 the smallest integer that is 9715673 that is divisible by both numbers.

Least Common Multiple (LCM) of 3113 and 3121 is 9715673.

LCM(3113,3121) = 9715673

LCM of 3113 and 3121

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

LCM of:
and

Least Common Multiple of 3113 and 3121

LCM of 3113 and 3121 is 9715673

Least common multiple can be found by multiplying the highest exponent prime factors of 3113 and 3121. First we will calculate the prime factors of 3113 and 3121.

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 3121


3121 3121
1

Prime factors of 3121 are 3121. Prime factorization of 3121 in exponential form is:

3121 = 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 3113 and 3121.

LCM(3113,3121) = 111×2831×31211
LCM(3113,3121) = 9715673

Factors of 3113

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

1, 11, 283, 3113

Factors of 3121

List of positive integer factors of 3121 that divides 3121 without a remainder.

1, 3121

Least Common Multiple of 3113 and 3121 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 3121, than apply into the LCM equation.

GCF(3113,3121) = 1
LCM(3113,3121) = ( 3113 × 3121) / 1
LCM(3113,3121) = 9715673 / 1
LCM(3113,3121) = 9715673

Properties of LCM 3113 and 3121

(i) The LCM of 3121 and 3113 is associative

LCM of 3113 and 3121 = LCM of 3121 and 3113

Related Least Common Multiples of 3113

Related Least Common Multiples of 3121

Frequently Asked Questions on LCM of 3113 and 3121

1. What is the LCM of 3113 and 3121?

Answer: LCM of 3113 and 3121 is 9715673.

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 3121?

Answer: Factors of 3121 are 1, 3121. There are 2 integers that are factors of 3121. The greatest factor of 3121 is 3121.

4. How to Find the LCM of 3113 and 3121?

Answer:

Least Common Multiple of 3113 and 3121 = 9715673

Step 1: Find the prime factorization of 3113

3113 = 11 x 283

Step 2: Find the prime factorization of 3121

3121 = 3121

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

LCM = 9715673 = 11 x 283 x 3121

Step 4: Therefore, the least common multiple of 3113 and 3121 is 9715673.