Least Common Multiple of 3113 and 3120

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 3120 the smallest integer that is 9712560 that is divisible by both numbers.

Least Common Multiple (LCM) of 3113 and 3120 is 9712560.

LCM(3113,3120) = 9712560

LCM of 3113 and 3120

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

LCM of:
and

Least Common Multiple of 3113 and 3120

LCM of 3113 and 3120 is 9712560

Least common multiple can be found by multiplying the highest exponent prime factors of 3113 and 3120. First we will calculate the prime factors of 3113 and 3120.

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 3120


2 3120
2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 3120 are 2, 3, 5,13. Prime factorization of 3120 in exponential form is:

3120 = 24×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 3113 and 3120.

LCM(3113,3120) = 24×31×51×111×131×2831
LCM(3113,3120) = 9712560

Factors of 3113

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

1, 11, 283, 3113

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120

Least Common Multiple of 3113 and 3120 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 3120, than apply into the LCM equation.

GCF(3113,3120) = 1
LCM(3113,3120) = ( 3113 × 3120) / 1
LCM(3113,3120) = 9712560 / 1
LCM(3113,3120) = 9712560

Properties of LCM 3113 and 3120

(i) The LCM of 3120 and 3113 is associative

LCM of 3113 and 3120 = LCM of 3120 and 3113

Related Least Common Multiples of 3113

Related Least Common Multiples of 3120

Frequently Asked Questions on LCM of 3113 and 3120

1. What is the LCM of 3113 and 3120?

Answer: LCM of 3113 and 3120 is 9712560.

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 3120?

Answer: Factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120. There are 40 integers that are factors of 3120. The greatest factor of 3120 is 3120.

4. How to Find the LCM of 3113 and 3120?

Answer:

Least Common Multiple of 3113 and 3120 = 9712560

Step 1: Find the prime factorization of 3113

3113 = 11 x 283

Step 2: Find the prime factorization of 3120

3120 = 2 x 2 x 2 x 2 x 3 x 5 x 13

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

LCM = 9712560 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 13 x 283

Step 4: Therefore, the least common multiple of 3113 and 3120 is 9712560.