Least Common Multiple of 1040 and 1045

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 1045 the smallest integer that is 217360 that is divisible by both numbers.

Least Common Multiple (LCM) of 1040 and 1045 is 217360.

LCM(1040,1045) = 217360

LCM of 1040 and 1045

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

LCM of:
and

Least Common Multiple of 1040 and 1045

LCM of 1040 and 1045 is 217360

Least common multiple can be found by multiplying the highest exponent prime factors of 1040 and 1045. First we will calculate the prime factors of 1040 and 1045.

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 1045


5 1045
11 209
19 19
1

Prime factors of 1045 are 5, 11,19. Prime factorization of 1045 in exponential form is:

1045 = 51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1040 and 1045.

LCM(1040,1045) = 24×51×111×131×191
LCM(1040,1045) = 217360

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 1045

List of positive integer factors of 1045 that divides 1045 without a remainder.

1, 5, 11, 19, 55, 95, 209, 1045

Least Common Multiple of 1040 and 1045 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 1045, than apply into the LCM equation.

GCF(1040,1045) = 5
LCM(1040,1045) = ( 1040 × 1045) / 5
LCM(1040,1045) = 1086800 / 5
LCM(1040,1045) = 217360

Properties of LCM 1040 and 1045

(i) The LCM of 1045 and 1040 is associative

LCM of 1040 and 1045 = LCM of 1045 and 1040

Frequently Asked Questions on LCM of 1040 and 1045

1. What is the LCM of 1040 and 1045?

Answer: LCM of 1040 and 1045 is 217360.

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 1045?

Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.

4. How to Find the LCM of 1040 and 1045?

Answer:

Least Common Multiple of 1040 and 1045 = 217360

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 1045

1045 = 5 x 11 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 = 217360 = 2 x 2 x 2 x 2 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 1040 and 1045 is 217360.