Least Common Multiple of 1063 and 1071

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1063 and 1071 the smallest integer that is 1138473 that is divisible by both numbers.

Least Common Multiple (LCM) of 1063 and 1071 is 1138473.

LCM(1063,1071) = 1138473

LCM of 1063 and 1071

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

LCM of:
and

Least Common Multiple of 1063 and 1071

LCM of 1063 and 1071 is 1138473

Least common multiple can be found by multiplying the highest exponent prime factors of 1063 and 1071. First we will calculate the prime factors of 1063 and 1071.

Prime Factorization of 1063


1063 1063
1

Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:

1063 = 10631

Prime Factorization of 1071


3 1071
3 357
7 119
17 17
1

Prime factors of 1071 are 3, 7,17. Prime factorization of 1071 in exponential form is:

1071 = 32×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1063 and 1071.

LCM(1063,1071) = 32×71×171×10631
LCM(1063,1071) = 1138473

Factors of 1063

List of positive integer factors of 1063 that divides 1063 without a remainder.

1, 1063

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071

Least Common Multiple of 1063 and 1071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1063 and 1071, than apply into the LCM equation.

GCF(1063,1071) = 1
LCM(1063,1071) = ( 1063 × 1071) / 1
LCM(1063,1071) = 1138473 / 1
LCM(1063,1071) = 1138473

Properties of LCM 1063 and 1071

(i) The LCM of 1071 and 1063 is associative

LCM of 1063 and 1071 = LCM of 1071 and 1063

Related Least Common Multiples of 1063

Related Least Common Multiples of 1071

Frequently Asked Questions on LCM of 1063 and 1071

1. What is the LCM of 1063 and 1071?

Answer: LCM of 1063 and 1071 is 1138473.

2. What are the Factors of 1063?

Answer: Factors of 1063 are 1, 1063. There are 2 integers that are factors of 1063. The greatest factor of 1063 is 1063.

3. What are the Factors of 1071?

Answer: Factors of 1071 are 1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071. There are 12 integers that are factors of 1071. The greatest factor of 1071 is 1071.

4. How to Find the LCM of 1063 and 1071?

Answer:

Least Common Multiple of 1063 and 1071 = 1138473

Step 1: Find the prime factorization of 1063

1063 = 1063

Step 2: Find the prime factorization of 1071

1071 = 3 x 3 x 7 x 17

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

LCM = 1138473 = 3 x 3 x 7 x 17 x 1063

Step 4: Therefore, the least common multiple of 1063 and 1071 is 1138473.