Least Common Multiple of 1058 and 1064

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 1064 the smallest integer that is 562856 that is divisible by both numbers.

Least Common Multiple (LCM) of 1058 and 1064 is 562856.

LCM(1058,1064) = 562856

LCM of 1058 and 1064

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

LCM of:
and

Least Common Multiple of 1058 and 1064

LCM of 1058 and 1064 is 562856

Least common multiple can be found by multiplying the highest exponent prime factors of 1058 and 1064. First we will calculate the prime factors of 1058 and 1064.

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 1064


2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 1064 are 2, 7,19. Prime factorization of 1064 in exponential form is:

1064 = 23×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1058 and 1064.

LCM(1058,1064) = 23×71×191×232
LCM(1058,1064) = 562856

Factors of 1058

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

1, 2, 23, 46, 529, 1058

Factors of 1064

List of positive integer factors of 1064 that divides 1064 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064

Least Common Multiple of 1058 and 1064 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 1064, than apply into the LCM equation.

GCF(1058,1064) = 2
LCM(1058,1064) = ( 1058 × 1064) / 2
LCM(1058,1064) = 1125712 / 2
LCM(1058,1064) = 562856

Properties of LCM 1058 and 1064

(i) The LCM of 1064 and 1058 is associative

LCM of 1058 and 1064 = LCM of 1064 and 1058

Related Least Common Multiples of 1058

Related Least Common Multiples of 1064

Frequently Asked Questions on LCM of 1058 and 1064

1. What is the LCM of 1058 and 1064?

Answer: LCM of 1058 and 1064 is 562856.

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 1064?

Answer: Factors of 1064 are 1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 76, 133, 152, 266, 532, 1064. There are 16 integers that are factors of 1064. The greatest factor of 1064 is 1064.

4. How to Find the LCM of 1058 and 1064?

Answer:

Least Common Multiple of 1058 and 1064 = 562856

Step 1: Find the prime factorization of 1058

1058 = 2 x 23 x 23

Step 2: Find the prime factorization of 1064

1064 = 2 x 2 x 2 x 7 x 19

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

LCM = 562856 = 2 x 2 x 2 x 7 x 19 x 23 x 23

Step 4: Therefore, the least common multiple of 1058 and 1064 is 562856.