Least Common Multiple of 1040 and 1047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1040 and 1047 the smallest integer that is 1088880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1040 and 1047 is 1088880.

LCM(1040,1047) = 1088880

LCM of 1040 and 1047

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

LCM of:
and

Least Common Multiple of 1040 and 1047

LCM of 1040 and 1047 is 1088880

Least common multiple can be found by multiplying the highest exponent prime factors of 1040 and 1047. First we will calculate the prime factors of 1040 and 1047.

Prime Factorization of 1040


2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 1040 are 2, 5,13. Prime factorization of 1040 in exponential form is:

1040 = 24×51×131

Prime Factorization of 1047


3 1047
349 349
1

Prime factors of 1047 are 3,349. Prime factorization of 1047 in exponential form is:

1047 = 31×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 1040 and 1047.

LCM(1040,1047) = 24×31×51×131×3491
LCM(1040,1047) = 1088880

Factors of 1040

List of positive integer factors of 1040 that divides 1040 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040

Factors of 1047

List of positive integer factors of 1047 that divides 1047 without a remainder.

1, 3, 349, 1047

Least Common Multiple of 1040 and 1047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1040 and 1047, than apply into the LCM equation.

GCF(1040,1047) = 1
LCM(1040,1047) = ( 1040 × 1047) / 1
LCM(1040,1047) = 1088880 / 1
LCM(1040,1047) = 1088880

Properties of LCM 1040 and 1047

(i) The LCM of 1047 and 1040 is associative

LCM of 1040 and 1047 = LCM of 1047 and 1040

Related Least Common Multiples of 1040

Related Least Common Multiples of 1047

Frequently Asked Questions on LCM of 1040 and 1047

1. What is the LCM of 1040 and 1047?

Answer: LCM of 1040 and 1047 is 1088880.

2. What are the Factors of 1040?

Answer: Factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040. There are 20 integers that are factors of 1040. The greatest factor of 1040 is 1040.

3. What are the Factors of 1047?

Answer: Factors of 1047 are 1, 3, 349, 1047. There are 4 integers that are factors of 1047. The greatest factor of 1047 is 1047.

4. How to Find the LCM of 1040 and 1047?

Answer:

Least Common Multiple of 1040 and 1047 = 1088880

Step 1: Find the prime factorization of 1040

1040 = 2 x 2 x 2 x 2 x 5 x 13

Step 2: Find the prime factorization of 1047

1047 = 3 x 349

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

LCM = 1088880 = 2 x 2 x 2 x 2 x 3 x 5 x 13 x 349

Step 4: Therefore, the least common multiple of 1040 and 1047 is 1088880.