Least Common Multiple of 1035 and 1040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1035 and 1040 the smallest integer that is 215280 that is divisible by both numbers.

Least Common Multiple (LCM) of 1035 and 1040 is 215280.

LCM(1035,1040) = 215280

LCM of 1035 and 1040

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

LCM of:
and

Least Common Multiple of 1035 and 1040

LCM of 1035 and 1040 is 215280

Least common multiple can be found by multiplying the highest exponent prime factors of 1035 and 1040. First we will calculate the prime factors of 1035 and 1040.

Prime Factorization of 1035


3 1035
3 345
5 115
23 23
1

Prime factors of 1035 are 3, 5,23. Prime factorization of 1035 in exponential form is:

1035 = 32×51×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1035 and 1040.

LCM(1035,1040) = 24×32×51×131×231
LCM(1035,1040) = 215280

Factors of 1035

List of positive integer factors of 1035 that divides 1035 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035

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

Least Common Multiple of 1035 and 1040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1035 and 1040, than apply into the LCM equation.

GCF(1035,1040) = 5
LCM(1035,1040) = ( 1035 × 1040) / 5
LCM(1035,1040) = 1076400 / 5
LCM(1035,1040) = 215280

Properties of LCM 1035 and 1040

(i) The LCM of 1040 and 1035 is associative

LCM of 1035 and 1040 = LCM of 1040 and 1035

Related Least Common Multiples of 1035

Related Least Common Multiples of 1040

Frequently Asked Questions on LCM of 1035 and 1040

1. What is the LCM of 1035 and 1040?

Answer: LCM of 1035 and 1040 is 215280.

2. What are the Factors of 1035?

Answer: Factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035. There are 12 integers that are factors of 1035. The greatest factor of 1035 is 1035.

3. 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.

4. How to Find the LCM of 1035 and 1040?

Answer:

Least Common Multiple of 1035 and 1040 = 215280

Step 1: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 1040

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

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

LCM = 215280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 23

Step 4: Therefore, the least common multiple of 1035 and 1040 is 215280.