Least Common Multiple of 3040 and 3047

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 3047 the smallest integer that is 9262880 that is divisible by both numbers.

Least Common Multiple (LCM) of 3040 and 3047 is 9262880.

LCM(3040,3047) = 9262880

LCM of 3040 and 3047

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

LCM of:
and

Least Common Multiple of 3040 and 3047

LCM of 3040 and 3047 is 9262880

Least common multiple can be found by multiplying the highest exponent prime factors of 3040 and 3047. First we will calculate the prime factors of 3040 and 3047.

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 3047


11 3047
277 277
1

Prime factors of 3047 are 11,277. Prime factorization of 3047 in exponential form is:

3047 = 111×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 3040 and 3047.

LCM(3040,3047) = 25×51×111×191×2771
LCM(3040,3047) = 9262880

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 3047

List of positive integer factors of 3047 that divides 3047 without a remainder.

1, 11, 277, 3047

Least Common Multiple of 3040 and 3047 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 3047, than apply into the LCM equation.

GCF(3040,3047) = 1
LCM(3040,3047) = ( 3040 × 3047) / 1
LCM(3040,3047) = 9262880 / 1
LCM(3040,3047) = 9262880

Properties of LCM 3040 and 3047

(i) The LCM of 3047 and 3040 is associative

LCM of 3040 and 3047 = LCM of 3047 and 3040

Related Least Common Multiples of 3040

Related Least Common Multiples of 3047

Frequently Asked Questions on LCM of 3040 and 3047

1. What is the LCM of 3040 and 3047?

Answer: LCM of 3040 and 3047 is 9262880.

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 3047?

Answer: Factors of 3047 are 1, 11, 277, 3047. There are 4 integers that are factors of 3047. The greatest factor of 3047 is 3047.

4. How to Find the LCM of 3040 and 3047?

Answer:

Least Common Multiple of 3040 and 3047 = 9262880

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 3047

3047 = 11 x 277

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

LCM = 9262880 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 19 x 277

Step 4: Therefore, the least common multiple of 3040 and 3047 is 9262880.