Least Common Multiple of 3120 and 3128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3120 and 3128 the smallest integer that is 1219920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3120 and 3128 is 1219920.

LCM(3120,3128) = 1219920

LCM of 3120 and 3128

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

LCM of:
and

Least Common Multiple of 3120 and 3128

LCM of 3120 and 3128 is 1219920

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3128. First we will calculate the prime factors of 3120 and 3128.

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

Prime Factorization of 3128


2 3128
2 1564
2 782
17 391
23 23
1

Prime factors of 3128 are 2, 17,23. Prime factorization of 3128 in exponential form is:

3128 = 23×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3128.

LCM(3120,3128) = 24×31×51×131×171×231
LCM(3120,3128) = 1219920

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

Factors of 3128

List of positive integer factors of 3128 that divides 3128 without a remainder.

1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128

Least Common Multiple of 3120 and 3128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3120 and 3128, than apply into the LCM equation.

GCF(3120,3128) = 8
LCM(3120,3128) = ( 3120 × 3128) / 8
LCM(3120,3128) = 9759360 / 8
LCM(3120,3128) = 1219920

Properties of LCM 3120 and 3128

(i) The LCM of 3128 and 3120 is associative

LCM of 3120 and 3128 = LCM of 3128 and 3120

Related Least Common Multiples of 3120

Related Least Common Multiples of 3128

Frequently Asked Questions on LCM of 3120 and 3128

1. What is the LCM of 3120 and 3128?

Answer: LCM of 3120 and 3128 is 1219920.

2. 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.

3. What are the Factors of 3128?

Answer: Factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128. There are 16 integers that are factors of 3128. The greatest factor of 3128 is 3128.

4. How to Find the LCM of 3120 and 3128?

Answer:

Least Common Multiple of 3120 and 3128 = 1219920

Step 1: Find the prime factorization of 3120

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

Step 2: Find the prime factorization of 3128

3128 = 2 x 2 x 2 x 17 x 23

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

LCM = 1219920 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 17 x 23

Step 4: Therefore, the least common multiple of 3120 and 3128 is 1219920.