Least Common Multiple of 1032 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 1032 and 1039 the smallest integer that is 1072248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1032 and 1039 is 1072248.

LCM(1032,1039) = 1072248

LCM of 1032 and 1039

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

LCM of:
and

Least Common Multiple of 1032 and 1039

LCM of 1032 and 1039 is 1072248

Least common multiple can be found by multiplying the highest exponent prime factors of 1032 and 1039. First we will calculate the prime factors of 1032 and 1039.

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 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 1032 and 1039.

LCM(1032,1039) = 23×31×431×10391
LCM(1032,1039) = 1072248

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 1039

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

1, 1039

Least Common Multiple of 1032 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 1032 and 1039, than apply into the LCM equation.

GCF(1032,1039) = 1
LCM(1032,1039) = ( 1032 × 1039) / 1
LCM(1032,1039) = 1072248 / 1
LCM(1032,1039) = 1072248

Properties of LCM 1032 and 1039

(i) The LCM of 1039 and 1032 is associative

LCM of 1032 and 1039 = LCM of 1039 and 1032

Related Least Common Multiples of 1032

Related Least Common Multiples of 1039

Frequently Asked Questions on LCM of 1032 and 1039

1. What is the LCM of 1032 and 1039?

Answer: LCM of 1032 and 1039 is 1072248.

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 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 1032 and 1039?

Answer:

Least Common Multiple of 1032 and 1039 = 1072248

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 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 = 1072248 = 2 x 2 x 2 x 3 x 43 x 1039

Step 4: Therefore, the least common multiple of 1032 and 1039 is 1072248.