Least Common Multiple of 3040 and 3045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3040 and 3045 the smallest integer that is 1851360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3040 and 3045 is 1851360.

LCM(3040,3045) = 1851360

LCM of 3040 and 3045

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

LCM of:
and

Least Common Multiple of 3040 and 3045

LCM of 3040 and 3045 is 1851360

Least common multiple can be found by multiplying the highest exponent prime factors of 3040 and 3045. First we will calculate the prime factors of 3040 and 3045.

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

Prime Factorization of 3045


3 3045
5 1015
7 203
29 29
1

Prime factors of 3045 are 3, 5, 7,29. Prime factorization of 3045 in exponential form is:

3045 = 31×51×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3040 and 3045.

LCM(3040,3045) = 25×31×51×71×191×291
LCM(3040,3045) = 1851360

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

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045

Least Common Multiple of 3040 and 3045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3040 and 3045, than apply into the LCM equation.

GCF(3040,3045) = 5
LCM(3040,3045) = ( 3040 × 3045) / 5
LCM(3040,3045) = 9256800 / 5
LCM(3040,3045) = 1851360

Properties of LCM 3040 and 3045

(i) The LCM of 3045 and 3040 is associative

LCM of 3040 and 3045 = LCM of 3045 and 3040

Related Least Common Multiples of 3040

Related Least Common Multiples of 3045

Frequently Asked Questions on LCM of 3040 and 3045

1. What is the LCM of 3040 and 3045?

Answer: LCM of 3040 and 3045 is 1851360.

2. 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.

3. What are the Factors of 3045?

Answer: Factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045. There are 16 integers that are factors of 3045. The greatest factor of 3045 is 3045.

4. How to Find the LCM of 3040 and 3045?

Answer:

Least Common Multiple of 3040 and 3045 = 1851360

Step 1: Find the prime factorization of 3040

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

Step 2: Find the prime factorization of 3045

3045 = 3 x 5 x 7 x 29

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

LCM = 1851360 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 29

Step 4: Therefore, the least common multiple of 3040 and 3045 is 1851360.