Least Common Multiple of 1027 and 1032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1027 and 1032 the smallest integer that is 1059864 that is divisible by both numbers.

Least Common Multiple (LCM) of 1027 and 1032 is 1059864.

LCM(1027,1032) = 1059864

LCM of 1027 and 1032

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

LCM of:
and

Least Common Multiple of 1027 and 1032

LCM of 1027 and 1032 is 1059864

Least common multiple can be found by multiplying the highest exponent prime factors of 1027 and 1032. First we will calculate the prime factors of 1027 and 1032.

Prime Factorization of 1027


13 1027
79 79
1

Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:

1027 = 131×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1027 and 1032.

LCM(1027,1032) = 23×31×131×431×791
LCM(1027,1032) = 1059864

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1, 13, 79, 1027

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

Least Common Multiple of 1027 and 1032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1027 and 1032, than apply into the LCM equation.

GCF(1027,1032) = 1
LCM(1027,1032) = ( 1027 × 1032) / 1
LCM(1027,1032) = 1059864 / 1
LCM(1027,1032) = 1059864

Properties of LCM 1027 and 1032

(i) The LCM of 1032 and 1027 is associative

LCM of 1027 and 1032 = LCM of 1032 and 1027

Related Least Common Multiples of 1027

Related Least Common Multiples of 1032

Frequently Asked Questions on LCM of 1027 and 1032

1. What is the LCM of 1027 and 1032?

Answer: LCM of 1027 and 1032 is 1059864.

2. What are the Factors of 1027?

Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.

3. 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.

4. How to Find the LCM of 1027 and 1032?

Answer:

Least Common Multiple of 1027 and 1032 = 1059864

Step 1: Find the prime factorization of 1027

1027 = 13 x 79

Step 2: Find the prime factorization of 1032

1032 = 2 x 2 x 2 x 3 x 43

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

LCM = 1059864 = 2 x 2 x 2 x 3 x 13 x 43 x 79

Step 4: Therefore, the least common multiple of 1027 and 1032 is 1059864.