Least Common Multiple of 3036 and 3040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3036 and 3040 the smallest integer that is 2307360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3036 and 3040 is 2307360.

LCM(3036,3040) = 2307360

LCM of 3036 and 3040

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

LCM of:
and

Least Common Multiple of 3036 and 3040

LCM of 3036 and 3040 is 2307360

Least common multiple can be found by multiplying the highest exponent prime factors of 3036 and 3040. First we will calculate the prime factors of 3036 and 3040.

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

Prime Factorization of 3040


2 3040
2 1520
2 760
2 380
2 190
5 95
19 19
1

Prime factors of 3040 are 2, 5,19. Prime factorization of 3040 in exponential form is:

3040 = 25×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3036 and 3040.

LCM(3036,3040) = 25×31×51×111×191×231
LCM(3036,3040) = 2307360

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

Factors of 3040

List of positive integer factors of 3040 that divides 3040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040

Least Common Multiple of 3036 and 3040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3036 and 3040, than apply into the LCM equation.

GCF(3036,3040) = 4
LCM(3036,3040) = ( 3036 × 3040) / 4
LCM(3036,3040) = 9229440 / 4
LCM(3036,3040) = 2307360

Properties of LCM 3036 and 3040

(i) The LCM of 3040 and 3036 is associative

LCM of 3036 and 3040 = LCM of 3040 and 3036

Related Least Common Multiples of 3036

Related Least Common Multiples of 3040

Frequently Asked Questions on LCM of 3036 and 3040

1. What is the LCM of 3036 and 3040?

Answer: LCM of 3036 and 3040 is 2307360.

2. 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.

3. What are the Factors of 3040?

Answer: Factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040. There are 24 integers that are factors of 3040. The greatest factor of 3040 is 3040.

4. How to Find the LCM of 3036 and 3040?

Answer:

Least Common Multiple of 3036 and 3040 = 2307360

Step 1: Find the prime factorization of 3036

3036 = 2 x 2 x 3 x 11 x 23

Step 2: Find the prime factorization of 3040

3040 = 2 x 2 x 2 x 2 x 2 x 5 x 19

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

LCM = 2307360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 3036 and 3040 is 2307360.