Least Common Multiple of 1054 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 1054 and 1058 the smallest integer that is 557566 that is divisible by both numbers.

Least Common Multiple (LCM) of 1054 and 1058 is 557566.

LCM(1054,1058) = 557566

LCM of 1054 and 1058

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

LCM of:
and

Least Common Multiple of 1054 and 1058

LCM of 1054 and 1058 is 557566

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1058. First we will calculate the prime factors of 1054 and 1058.

Prime Factorization of 1054


2 1054
17 527
31 31
1

Prime factors of 1054 are 2, 17,31. Prime factorization of 1054 in exponential form is:

1054 = 21×171×311

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 1054 and 1058.

LCM(1054,1058) = 21×171×232×311
LCM(1054,1058) = 557566

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1, 2, 17, 31, 34, 62, 527, 1054

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 1054 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 1054 and 1058, than apply into the LCM equation.

GCF(1054,1058) = 2
LCM(1054,1058) = ( 1054 × 1058) / 2
LCM(1054,1058) = 1115132 / 2
LCM(1054,1058) = 557566

Properties of LCM 1054 and 1058

(i) The LCM of 1058 and 1054 is associative

LCM of 1054 and 1058 = LCM of 1058 and 1054

Related Least Common Multiples of 1054

Related Least Common Multiples of 1058

Frequently Asked Questions on LCM of 1054 and 1058

1. What is the LCM of 1054 and 1058?

Answer: LCM of 1054 and 1058 is 557566.

2. What are the Factors of 1054?

Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.

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 1054 and 1058?

Answer:

Least Common Multiple of 1054 and 1058 = 557566

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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 = 557566 = 2 x 17 x 23 x 23 x 31

Step 4: Therefore, the least common multiple of 1054 and 1058 is 557566.