Least Common Multiple of 1051 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 1051 and 1058 the smallest integer that is 1111958 that is divisible by both numbers.

Least Common Multiple (LCM) of 1051 and 1058 is 1111958.

LCM(1051,1058) = 1111958

LCM of 1051 and 1058

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

LCM of:
and

Least Common Multiple of 1051 and 1058

LCM of 1051 and 1058 is 1111958

Least common multiple can be found by multiplying the highest exponent prime factors of 1051 and 1058. First we will calculate the prime factors of 1051 and 1058.

Prime Factorization of 1051


1051 1051
1

Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:

1051 = 10511

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 1051 and 1058.

LCM(1051,1058) = 21×232×10511
LCM(1051,1058) = 1111958

Factors of 1051

List of positive integer factors of 1051 that divides 1051 without a remainder.

1, 1051

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 1051 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 1051 and 1058, than apply into the LCM equation.

GCF(1051,1058) = 1
LCM(1051,1058) = ( 1051 × 1058) / 1
LCM(1051,1058) = 1111958 / 1
LCM(1051,1058) = 1111958

Properties of LCM 1051 and 1058

(i) The LCM of 1058 and 1051 is associative

LCM of 1051 and 1058 = LCM of 1058 and 1051

Related Least Common Multiples of 1051

Related Least Common Multiples of 1058

Frequently Asked Questions on LCM of 1051 and 1058

1. What is the LCM of 1051 and 1058?

Answer: LCM of 1051 and 1058 is 1111958.

2. What are the Factors of 1051?

Answer: Factors of 1051 are 1, 1051. There are 2 integers that are factors of 1051. The greatest factor of 1051 is 1051.

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 1051 and 1058?

Answer:

Least Common Multiple of 1051 and 1058 = 1111958

Step 1: Find the prime factorization of 1051

1051 = 1051

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 = 1111958 = 2 x 23 x 23 x 1051

Step 4: Therefore, the least common multiple of 1051 and 1058 is 1111958.