Least Common Multiple of 3032 and 3036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3032 and 3036 the smallest integer that is 2301288 that is divisible by both numbers.

Least Common Multiple (LCM) of 3032 and 3036 is 2301288.

LCM(3032,3036) = 2301288

LCM of 3032 and 3036

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

LCM of:
and

Least Common Multiple of 3032 and 3036

LCM of 3032 and 3036 is 2301288

Least common multiple can be found by multiplying the highest exponent prime factors of 3032 and 3036. First we will calculate the prime factors of 3032 and 3036.

Prime Factorization of 3032


2 3032
2 1516
2 758
379 379
1

Prime factors of 3032 are 2,379. Prime factorization of 3032 in exponential form is:

3032 = 23×3791

Prime Factorization of 3036


2 3036
2 1518
3 759
11 253
23 23
1

Prime factors of 3036 are 2, 3, 11,23. Prime factorization of 3036 in exponential form is:

3036 = 22×31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3032 and 3036.

LCM(3032,3036) = 23×31×111×231×3791
LCM(3032,3036) = 2301288

Factors of 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1, 2, 4, 8, 379, 758, 1516, 3032

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036

Least Common Multiple of 3032 and 3036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3032 and 3036, than apply into the LCM equation.

GCF(3032,3036) = 4
LCM(3032,3036) = ( 3032 × 3036) / 4
LCM(3032,3036) = 9205152 / 4
LCM(3032,3036) = 2301288

Properties of LCM 3032 and 3036

(i) The LCM of 3036 and 3032 is associative

LCM of 3032 and 3036 = LCM of 3036 and 3032

Related Least Common Multiples of 3032

Related Least Common Multiples of 3036

Frequently Asked Questions on LCM of 3032 and 3036

1. What is the LCM of 3032 and 3036?

Answer: LCM of 3032 and 3036 is 2301288.

2. What are the Factors of 3032?

Answer: Factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032. There are 8 integers that are factors of 3032. The greatest factor of 3032 is 3032.

3. What are the Factors of 3036?

Answer: Factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036. There are 24 integers that are factors of 3036. The greatest factor of 3036 is 3036.

4. How to Find the LCM of 3032 and 3036?

Answer:

Least Common Multiple of 3032 and 3036 = 2301288

Step 1: Find the prime factorization of 3032

3032 = 2 x 2 x 2 x 379

Step 2: Find the prime factorization of 3036

3036 = 2 x 2 x 3 x 11 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 = 2301288 = 2 x 2 x 2 x 3 x 11 x 23 x 379

Step 4: Therefore, the least common multiple of 3032 and 3036 is 2301288.