Least Common Multiple of 1032 and 1035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1032 and 1035 the smallest integer that is 356040 that is divisible by both numbers.

Least Common Multiple (LCM) of 1032 and 1035 is 356040.

LCM(1032,1035) = 356040

LCM of 1032 and 1035

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

LCM of:
and

Least Common Multiple of 1032 and 1035

LCM of 1032 and 1035 is 356040

Least common multiple can be found by multiplying the highest exponent prime factors of 1032 and 1035. First we will calculate the prime factors of 1032 and 1035.

Prime Factorization of 1032


2 1032
2 516
2 258
3 129
43 43
1

Prime factors of 1032 are 2, 3,43. Prime factorization of 1032 in exponential form is:

1032 = 23×31×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1032 and 1035.

LCM(1032,1035) = 23×32×51×231×431
LCM(1032,1035) = 356040

Factors of 1032

List of positive integer factors of 1032 that divides 1032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032

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

Least Common Multiple of 1032 and 1035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1032 and 1035, than apply into the LCM equation.

GCF(1032,1035) = 3
LCM(1032,1035) = ( 1032 × 1035) / 3
LCM(1032,1035) = 1068120 / 3
LCM(1032,1035) = 356040

Properties of LCM 1032 and 1035

(i) The LCM of 1035 and 1032 is associative

LCM of 1032 and 1035 = LCM of 1035 and 1032

Related Least Common Multiples of 1032

Related Least Common Multiples of 1035

Frequently Asked Questions on LCM of 1032 and 1035

1. What is the LCM of 1032 and 1035?

Answer: LCM of 1032 and 1035 is 356040.

2. What are the Factors of 1032?

Answer: Factors of 1032 are 1, 2, 3, 4, 6, 8, 12, 24, 43, 86, 129, 172, 258, 344, 516, 1032. There are 16 integers that are factors of 1032. The greatest factor of 1032 is 1032.

3. 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.

4. How to Find the LCM of 1032 and 1035?

Answer:

Least Common Multiple of 1032 and 1035 = 356040

Step 1: Find the prime factorization of 1032

1032 = 2 x 2 x 2 x 3 x 43

Step 2: Find the prime factorization of 1035

1035 = 3 x 3 x 5 x 23

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

LCM = 356040 = 2 x 2 x 2 x 3 x 3 x 5 x 23 x 43

Step 4: Therefore, the least common multiple of 1032 and 1035 is 356040.