Least Common Multiple of 1055 and 1058

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1055 and 1058 the smallest integer that is 1116190 that is divisible by both numbers.

Least Common Multiple (LCM) of 1055 and 1058 is 1116190.

LCM(1055,1058) = 1116190

LCM of 1055 and 1058

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

LCM of:
and

Least Common Multiple of 1055 and 1058

LCM of 1055 and 1058 is 1116190

Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1058. First we will calculate the prime factors of 1055 and 1058.

Prime Factorization of 1055


5 1055
211 211
1

Prime factors of 1055 are 5,211. Prime factorization of 1055 in exponential form is:

1055 = 51×2111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1055 and 1058.

LCM(1055,1058) = 21×51×232×2111
LCM(1055,1058) = 1116190

Factors of 1055

List of positive integer factors of 1055 that divides 1055 without a remainder.

1, 5, 211, 1055

Factors of 1058

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

1, 2, 23, 46, 529, 1058

Least Common Multiple of 1055 and 1058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1055 and 1058, than apply into the LCM equation.

GCF(1055,1058) = 1
LCM(1055,1058) = ( 1055 × 1058) / 1
LCM(1055,1058) = 1116190 / 1
LCM(1055,1058) = 1116190

Properties of LCM 1055 and 1058

(i) The LCM of 1058 and 1055 is associative

LCM of 1055 and 1058 = LCM of 1058 and 1055

Related Least Common Multiples of 1055

Related Least Common Multiples of 1058

Frequently Asked Questions on LCM of 1055 and 1058

1. What is the LCM of 1055 and 1058?

Answer: LCM of 1055 and 1058 is 1116190.

2. What are the Factors of 1055?

Answer: Factors of 1055 are 1, 5, 211, 1055. There are 4 integers that are factors of 1055. The greatest factor of 1055 is 1055.

3. 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.

4. How to Find the LCM of 1055 and 1058?

Answer:

Least Common Multiple of 1055 and 1058 = 1116190

Step 1: Find the prime factorization of 1055

1055 = 5 x 211

Step 2: Find the prime factorization of 1058

1058 = 2 x 23 x 23

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

LCM = 1116190 = 2 x 5 x 23 x 23 x 211

Step 4: Therefore, the least common multiple of 1055 and 1058 is 1116190.