Least Common Multiple of 1035 and 1039

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 1039 the smallest integer that is 1075365 that is divisible by both numbers.

Least Common Multiple (LCM) of 1035 and 1039 is 1075365.

LCM(1035,1039) = 1075365

LCM of 1035 and 1039

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

LCM of:
and

Least Common Multiple of 1035 and 1039

LCM of 1035 and 1039 is 1075365

Least common multiple can be found by multiplying the highest exponent prime factors of 1035 and 1039. First we will calculate the prime factors of 1035 and 1039.

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 1039


1039 1039
1

Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:

1039 = 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 1035 and 1039.

LCM(1035,1039) = 32×51×231×10391
LCM(1035,1039) = 1075365

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 1039

List of positive integer factors of 1039 that divides 1039 without a remainder.

1, 1039

Least Common Multiple of 1035 and 1039 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 1039, than apply into the LCM equation.

GCF(1035,1039) = 1
LCM(1035,1039) = ( 1035 × 1039) / 1
LCM(1035,1039) = 1075365 / 1
LCM(1035,1039) = 1075365

Properties of LCM 1035 and 1039

(i) The LCM of 1039 and 1035 is associative

LCM of 1035 and 1039 = LCM of 1039 and 1035

Related Least Common Multiples of 1035

Related Least Common Multiples of 1039

Frequently Asked Questions on LCM of 1035 and 1039

1. What is the LCM of 1035 and 1039?

Answer: LCM of 1035 and 1039 is 1075365.

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 1039?

Answer: Factors of 1039 are 1, 1039. There are 2 integers that are factors of 1039. The greatest factor of 1039 is 1039.

4. How to Find the LCM of 1035 and 1039?

Answer:

Least Common Multiple of 1035 and 1039 = 1075365

Step 1: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

Step 2: Find the prime factorization of 1039

1039 = 1039

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

LCM = 1075365 = 3 x 3 x 5 x 23 x 1039

Step 4: Therefore, the least common multiple of 1035 and 1039 is 1075365.