Least Common Multiple of 1054 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 1054 and 1059 the smallest integer that is 1116186 that is divisible by both numbers.

Least Common Multiple (LCM) of 1054 and 1059 is 1116186.

LCM(1054,1059) = 1116186

LCM of 1054 and 1059

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

LCM of:
and

Least Common Multiple of 1054 and 1059

LCM of 1054 and 1059 is 1116186

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1059. First we will calculate the prime factors of 1054 and 1059.

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 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 1054 and 1059.

LCM(1054,1059) = 21×31×171×311×3531
LCM(1054,1059) = 1116186

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 1059

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

1, 3, 353, 1059

Least Common Multiple of 1054 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 1054 and 1059, than apply into the LCM equation.

GCF(1054,1059) = 1
LCM(1054,1059) = ( 1054 × 1059) / 1
LCM(1054,1059) = 1116186 / 1
LCM(1054,1059) = 1116186

Properties of LCM 1054 and 1059

(i) The LCM of 1059 and 1054 is associative

LCM of 1054 and 1059 = LCM of 1059 and 1054

Related Least Common Multiples of 1054

Related Least Common Multiples of 1059

Frequently Asked Questions on LCM of 1054 and 1059

1. What is the LCM of 1054 and 1059?

Answer: LCM of 1054 and 1059 is 1116186.

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 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 1054 and 1059?

Answer:

Least Common Multiple of 1054 and 1059 = 1116186

Step 1: Find the prime factorization of 1054

1054 = 2 x 17 x 31

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 = 1116186 = 2 x 3 x 17 x 31 x 353

Step 4: Therefore, the least common multiple of 1054 and 1059 is 1116186.