Least Common Multiple of 3112 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 3112 and 3120 the smallest integer that is 1213680 that is divisible by both numbers.

Least Common Multiple (LCM) of 3112 and 3120 is 1213680.

LCM(3112,3120) = 1213680

LCM of 3112 and 3120

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

LCM of:
and

Least Common Multiple of 3112 and 3120

LCM of 3112 and 3120 is 1213680

Least common multiple can be found by multiplying the highest exponent prime factors of 3112 and 3120. First we will calculate the prime factors of 3112 and 3120.

Prime Factorization of 3112


2 3112
2 1556
2 778
389 389
1

Prime factors of 3112 are 2,389. Prime factorization of 3112 in exponential form is:

3112 = 23×3891

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 3112 and 3120.

LCM(3112,3120) = 24×31×51×131×3891
LCM(3112,3120) = 1213680

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1, 2, 4, 8, 389, 778, 1556, 3112

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 3112 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 3112 and 3120, than apply into the LCM equation.

GCF(3112,3120) = 8
LCM(3112,3120) = ( 3112 × 3120) / 8
LCM(3112,3120) = 9709440 / 8
LCM(3112,3120) = 1213680

Properties of LCM 3112 and 3120

(i) The LCM of 3120 and 3112 is associative

LCM of 3112 and 3120 = LCM of 3120 and 3112

Related Least Common Multiples of 3112

Related Least Common Multiples of 3120

Frequently Asked Questions on LCM of 3112 and 3120

1. What is the LCM of 3112 and 3120?

Answer: LCM of 3112 and 3120 is 1213680.

2. What are the Factors of 3112?

Answer: Factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112. There are 8 integers that are factors of 3112. The greatest factor of 3112 is 3112.

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 3112 and 3120?

Answer:

Least Common Multiple of 3112 and 3120 = 1213680

Step 1: Find the prime factorization of 3112

3112 = 2 x 2 x 2 x 389

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 = 1213680 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 389

Step 4: Therefore, the least common multiple of 3112 and 3120 is 1213680.