Least Common Multiple of 1032 and 1038

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 1038 the smallest integer that is 178536 that is divisible by both numbers.

Least Common Multiple (LCM) of 1032 and 1038 is 178536.

LCM(1032,1038) = 178536

LCM of 1032 and 1038

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

LCM of:
and

Least Common Multiple of 1032 and 1038

LCM of 1032 and 1038 is 178536

Least common multiple can be found by multiplying the highest exponent prime factors of 1032 and 1038. First we will calculate the prime factors of 1032 and 1038.

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 1038


2 1038
3 519
173 173
1

Prime factors of 1038 are 2, 3,173. Prime factorization of 1038 in exponential form is:

1038 = 21×31×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1032 and 1038.

LCM(1032,1038) = 23×31×431×1731
LCM(1032,1038) = 178536

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 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1, 2, 3, 6, 173, 346, 519, 1038

Least Common Multiple of 1032 and 1038 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 1038, than apply into the LCM equation.

GCF(1032,1038) = 6
LCM(1032,1038) = ( 1032 × 1038) / 6
LCM(1032,1038) = 1071216 / 6
LCM(1032,1038) = 178536

Properties of LCM 1032 and 1038

(i) The LCM of 1038 and 1032 is associative

LCM of 1032 and 1038 = LCM of 1038 and 1032

Related Least Common Multiples of 1032

Related Least Common Multiples of 1038

Frequently Asked Questions on LCM of 1032 and 1038

1. What is the LCM of 1032 and 1038?

Answer: LCM of 1032 and 1038 is 178536.

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 1038?

Answer: Factors of 1038 are 1, 2, 3, 6, 173, 346, 519, 1038. There are 8 integers that are factors of 1038. The greatest factor of 1038 is 1038.

4. How to Find the LCM of 1032 and 1038?

Answer:

Least Common Multiple of 1032 and 1038 = 178536

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 1038

1038 = 2 x 3 x 173

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

LCM = 178536 = 2 x 2 x 2 x 3 x 43 x 173

Step 4: Therefore, the least common multiple of 1032 and 1038 is 178536.