Least Common Multiple of 1058 and 1066

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 1066 the smallest integer that is 563914 that is divisible by both numbers.

Least Common Multiple (LCM) of 1058 and 1066 is 563914.

LCM(1058,1066) = 563914

LCM of 1058 and 1066

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

LCM of:
and

Least Common Multiple of 1058 and 1066

LCM of 1058 and 1066 is 563914

Least common multiple can be found by multiplying the highest exponent prime factors of 1058 and 1066. First we will calculate the prime factors of 1058 and 1066.

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 1066


2 1066
13 533
41 41
1

Prime factors of 1066 are 2, 13,41. Prime factorization of 1066 in exponential form is:

1066 = 21×131×411

Now multiplying the highest exponent prime factors to calculate the LCM of 1058 and 1066.

LCM(1058,1066) = 21×131×232×411
LCM(1058,1066) = 563914

Factors of 1058

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

1, 2, 23, 46, 529, 1058

Factors of 1066

List of positive integer factors of 1066 that divides 1066 without a remainder.

1, 2, 13, 26, 41, 82, 533, 1066

Least Common Multiple of 1058 and 1066 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 1066, than apply into the LCM equation.

GCF(1058,1066) = 2
LCM(1058,1066) = ( 1058 × 1066) / 2
LCM(1058,1066) = 1127828 / 2
LCM(1058,1066) = 563914

Properties of LCM 1058 and 1066

(i) The LCM of 1066 and 1058 is associative

LCM of 1058 and 1066 = LCM of 1066 and 1058

Related Least Common Multiples of 1058

Related Least Common Multiples of 1066

Frequently Asked Questions on LCM of 1058 and 1066

1. What is the LCM of 1058 and 1066?

Answer: LCM of 1058 and 1066 is 563914.

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 1066?

Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.

4. How to Find the LCM of 1058 and 1066?

Answer:

Least Common Multiple of 1058 and 1066 = 563914

Step 1: Find the prime factorization of 1058

1058 = 2 x 23 x 23

Step 2: Find the prime factorization of 1066

1066 = 2 x 13 x 41

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

LCM = 563914 = 2 x 13 x 23 x 23 x 41

Step 4: Therefore, the least common multiple of 1058 and 1066 is 563914.