Least Common Multiple of 3123 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 3123 and 3128 the smallest integer that is 9768744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3123 and 3128 is 9768744.

LCM(3123,3128) = 9768744

LCM of 3123 and 3128

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

LCM of:
and

Least Common Multiple of 3123 and 3128

LCM of 3123 and 3128 is 9768744

Least common multiple can be found by multiplying the highest exponent prime factors of 3123 and 3128. First we will calculate the prime factors of 3123 and 3128.

Prime Factorization of 3123


3 3123
3 1041
347 347
1

Prime factors of 3123 are 3,347. Prime factorization of 3123 in exponential form is:

3123 = 32×3471

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 3123 and 3128.

LCM(3123,3128) = 23×32×171×231×3471
LCM(3123,3128) = 9768744

Factors of 3123

List of positive integer factors of 3123 that divides 3123 without a remainder.

1, 3, 9, 347, 1041, 3123

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 3123 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 3123 and 3128, than apply into the LCM equation.

GCF(3123,3128) = 1
LCM(3123,3128) = ( 3123 × 3128) / 1
LCM(3123,3128) = 9768744 / 1
LCM(3123,3128) = 9768744

Properties of LCM 3123 and 3128

(i) The LCM of 3128 and 3123 is associative

LCM of 3123 and 3128 = LCM of 3128 and 3123

Related Least Common Multiples of 3123

Related Least Common Multiples of 3128

Frequently Asked Questions on LCM of 3123 and 3128

1. What is the LCM of 3123 and 3128?

Answer: LCM of 3123 and 3128 is 9768744.

2. What are the Factors of 3123?

Answer: Factors of 3123 are 1, 3, 9, 347, 1041, 3123. There are 6 integers that are factors of 3123. The greatest factor of 3123 is 3123.

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 3123 and 3128?

Answer:

Least Common Multiple of 3123 and 3128 = 9768744

Step 1: Find the prime factorization of 3123

3123 = 3 x 3 x 347

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 = 9768744 = 2 x 2 x 2 x 3 x 3 x 17 x 23 x 347

Step 4: Therefore, the least common multiple of 3123 and 3128 is 9768744.