Least Common Multiple of 1058 and 1059

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 1059 the smallest integer that is 1120422 that is divisible by both numbers.

Least Common Multiple (LCM) of 1058 and 1059 is 1120422.

LCM(1058,1059) = 1120422

LCM of 1058 and 1059

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

LCM of:
and

Least Common Multiple of 1058 and 1059

LCM of 1058 and 1059 is 1120422

Least common multiple can be found by multiplying the highest exponent prime factors of 1058 and 1059. First we will calculate the prime factors of 1058 and 1059.

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 1059


3 1059
353 353
1

Prime factors of 1059 are 3,353. Prime factorization of 1059 in exponential form is:

1059 = 31×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 1058 and 1059.

LCM(1058,1059) = 21×31×232×3531
LCM(1058,1059) = 1120422

Factors of 1058

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

1, 2, 23, 46, 529, 1058

Factors of 1059

List of positive integer factors of 1059 that divides 1059 without a remainder.

1, 3, 353, 1059

Least Common Multiple of 1058 and 1059 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 1059, than apply into the LCM equation.

GCF(1058,1059) = 1
LCM(1058,1059) = ( 1058 × 1059) / 1
LCM(1058,1059) = 1120422 / 1
LCM(1058,1059) = 1120422

Properties of LCM 1058 and 1059

(i) The LCM of 1059 and 1058 is associative

LCM of 1058 and 1059 = LCM of 1059 and 1058

Frequently Asked Questions on LCM of 1058 and 1059

1. What is the LCM of 1058 and 1059?

Answer: LCM of 1058 and 1059 is 1120422.

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 1059?

Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.

4. How to Find the LCM of 1058 and 1059?

Answer:

Least Common Multiple of 1058 and 1059 = 1120422

Step 1: Find the prime factorization of 1058

1058 = 2 x 23 x 23

Step 2: Find the prime factorization of 1059

1059 = 3 x 353

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

LCM = 1120422 = 2 x 3 x 23 x 23 x 353

Step 4: Therefore, the least common multiple of 1058 and 1059 is 1120422.