Least Common Multiple of 1058 and 1063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1058 and 1063 the smallest integer that is 1124654 that is divisible by both numbers.

Least Common Multiple (LCM) of 1058 and 1063 is 1124654.

LCM(1058,1063) = 1124654

LCM of 1058 and 1063

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

LCM of:
and

Least Common Multiple of 1058 and 1063

LCM of 1058 and 1063 is 1124654

Least common multiple can be found by multiplying the highest exponent prime factors of 1058 and 1063. First we will calculate the prime factors of 1058 and 1063.

Prime Factorization of 1058


2 1058
23 529
23 23
1

Prime factors of 1058 are 2,23. Prime factorization of 1058 in exponential form is:

1058 = 21×232

Prime Factorization of 1063


1063 1063
1

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

1063 = 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 1058 and 1063.

LCM(1058,1063) = 21×232×10631
LCM(1058,1063) = 1124654

Factors of 1058

List of positive integer factors of 1058 that divides 1058 without a remainder.

1, 2, 23, 46, 529, 1058

Factors of 1063

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

1, 1063

Least Common Multiple of 1058 and 1063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1058 and 1063, than apply into the LCM equation.

GCF(1058,1063) = 1
LCM(1058,1063) = ( 1058 × 1063) / 1
LCM(1058,1063) = 1124654 / 1
LCM(1058,1063) = 1124654

Properties of LCM 1058 and 1063

(i) The LCM of 1063 and 1058 is associative

LCM of 1058 and 1063 = LCM of 1063 and 1058

Related Least Common Multiples of 1058

Related Least Common Multiples of 1063

Frequently Asked Questions on LCM of 1058 and 1063

1. What is the LCM of 1058 and 1063?

Answer: LCM of 1058 and 1063 is 1124654.

2. What are the Factors of 1058?

Answer: Factors of 1058 are 1, 2, 23, 46, 529, 1058. There are 6 integers that are factors of 1058. The greatest factor of 1058 is 1058.

3. 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.

4. How to Find the LCM of 1058 and 1063?

Answer:

Least Common Multiple of 1058 and 1063 = 1124654

Step 1: Find the prime factorization of 1058

1058 = 2 x 23 x 23

Step 2: Find the prime factorization of 1063

1063 = 1063

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

LCM = 1124654 = 2 x 23 x 23 x 1063

Step 4: Therefore, the least common multiple of 1058 and 1063 is 1124654.