Least Common Multiple of 3126 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 3126 and 3128 the smallest integer that is 4889064 that is divisible by both numbers.

Least Common Multiple (LCM) of 3126 and 3128 is 4889064.

LCM(3126,3128) = 4889064

LCM of 3126 and 3128

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

LCM of:
and

Least Common Multiple of 3126 and 3128

LCM of 3126 and 3128 is 4889064

Least common multiple can be found by multiplying the highest exponent prime factors of 3126 and 3128. First we will calculate the prime factors of 3126 and 3128.

Prime Factorization of 3126


2 3126
3 1563
521 521
1

Prime factors of 3126 are 2, 3,521. Prime factorization of 3126 in exponential form is:

3126 = 21×31×5211

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 3126 and 3128.

LCM(3126,3128) = 23×31×171×231×5211
LCM(3126,3128) = 4889064

Factors of 3126

List of positive integer factors of 3126 that divides 3126 without a remainder.

1, 2, 3, 6, 521, 1042, 1563, 3126

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 3126 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 3126 and 3128, than apply into the LCM equation.

GCF(3126,3128) = 2
LCM(3126,3128) = ( 3126 × 3128) / 2
LCM(3126,3128) = 9778128 / 2
LCM(3126,3128) = 4889064

Properties of LCM 3126 and 3128

(i) The LCM of 3128 and 3126 is associative

LCM of 3126 and 3128 = LCM of 3128 and 3126

Related Least Common Multiples of 3126

Related Least Common Multiples of 3128

Frequently Asked Questions on LCM of 3126 and 3128

1. What is the LCM of 3126 and 3128?

Answer: LCM of 3126 and 3128 is 4889064.

2. What are the Factors of 3126?

Answer: Factors of 3126 are 1, 2, 3, 6, 521, 1042, 1563, 3126. There are 8 integers that are factors of 3126. The greatest factor of 3126 is 3126.

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 3126 and 3128?

Answer:

Least Common Multiple of 3126 and 3128 = 4889064

Step 1: Find the prime factorization of 3126

3126 = 2 x 3 x 521

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 = 4889064 = 2 x 2 x 2 x 3 x 17 x 23 x 521

Step 4: Therefore, the least common multiple of 3126 and 3128 is 4889064.