Least Common Multiple of 11040 and 11047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11040 and 11047 the smallest integer that is 121958880 that is divisible by both numbers.

Least Common Multiple (LCM) of 11040 and 11047 is 121958880.

LCM(11040,11047) = 121958880

LCM of 11040 and 11047

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

LCM of:
and

Least Common Multiple of 11040 and 11047

LCM of 11040 and 11047 is 121958880

Least common multiple can be found by multiplying the highest exponent prime factors of 11040 and 11047. First we will calculate the prime factors of 11040 and 11047.

Prime Factorization of 11040


2 11040
2 5520
2 2760
2 1380
2 690
3 345
5 115
23 23
1

Prime factors of 11040 are 2, 3, 5,23. Prime factorization of 11040 in exponential form is:

11040 = 25×31×51×231

Prime Factorization of 11047


11047 11047
1

Prime factors of 11047 are 11047. Prime factorization of 11047 in exponential form is:

11047 = 110471

Now multiplying the highest exponent prime factors to calculate the LCM of 11040 and 11047.

LCM(11040,11047) = 25×31×51×231×110471
LCM(11040,11047) = 121958880

Factors of 11040

List of positive integer factors of 11040 that divides 11040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040

Factors of 11047

List of positive integer factors of 11047 that divides 11047 without a remainder.

1, 11047

Least Common Multiple of 11040 and 11047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11040 and 11047, than apply into the LCM equation.

GCF(11040,11047) = 1
LCM(11040,11047) = ( 11040 × 11047) / 1
LCM(11040,11047) = 121958880 / 1
LCM(11040,11047) = 121958880

Properties of LCM 11040 and 11047

(i) The LCM of 11047 and 11040 is associative

LCM of 11040 and 11047 = LCM of 11047 and 11040

Related Least Common Multiples of 11040

Related Least Common Multiples of 11047

Frequently Asked Questions on LCM of 11040 and 11047

1. What is the LCM of 11040 and 11047?

Answer: LCM of 11040 and 11047 is 121958880.

2. What are the Factors of 11040?

Answer: Factors of 11040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040. There are 48 integers that are factors of 11040. The greatest factor of 11040 is 11040.

3. What are the Factors of 11047?

Answer: Factors of 11047 are 1, 11047. There are 2 integers that are factors of 11047. The greatest factor of 11047 is 11047.

4. How to Find the LCM of 11040 and 11047?

Answer:

Least Common Multiple of 11040 and 11047 = 121958880

Step 1: Find the prime factorization of 11040

11040 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 11047

11047 = 11047

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

LCM = 121958880 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 11047

Step 4: Therefore, the least common multiple of 11040 and 11047 is 121958880.