Least Common Multiple of 1053 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 1053 and 1059 the smallest integer that is 371709 that is divisible by both numbers.

Least Common Multiple (LCM) of 1053 and 1059 is 371709.

LCM(1053,1059) = 371709

LCM of 1053 and 1059

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

LCM of:
and

Least Common Multiple of 1053 and 1059

LCM of 1053 and 1059 is 371709

Least common multiple can be found by multiplying the highest exponent prime factors of 1053 and 1059. First we will calculate the prime factors of 1053 and 1059.

Prime Factorization of 1053


3 1053
3 351
3 117
3 39
13 13
1

Prime factors of 1053 are 3,13. Prime factorization of 1053 in exponential form is:

1053 = 34×131

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 1053 and 1059.

LCM(1053,1059) = 34×131×3531
LCM(1053,1059) = 371709

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1, 3, 9, 13, 27, 39, 81, 117, 351, 1053

Factors of 1059

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

1, 3, 353, 1059

Least Common Multiple of 1053 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 1053 and 1059, than apply into the LCM equation.

GCF(1053,1059) = 3
LCM(1053,1059) = ( 1053 × 1059) / 3
LCM(1053,1059) = 1115127 / 3
LCM(1053,1059) = 371709

Properties of LCM 1053 and 1059

(i) The LCM of 1059 and 1053 is associative

LCM of 1053 and 1059 = LCM of 1059 and 1053

Related Least Common Multiples of 1053

Related Least Common Multiples of 1059

Frequently Asked Questions on LCM of 1053 and 1059

1. What is the LCM of 1053 and 1059?

Answer: LCM of 1053 and 1059 is 371709.

2. What are the Factors of 1053?

Answer: Factors of 1053 are 1, 3, 9, 13, 27, 39, 81, 117, 351, 1053. There are 10 integers that are factors of 1053. The greatest factor of 1053 is 1053.

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 1053 and 1059?

Answer:

Least Common Multiple of 1053 and 1059 = 371709

Step 1: Find the prime factorization of 1053

1053 = 3 x 3 x 3 x 3 x 13

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 = 371709 = 3 x 3 x 3 x 3 x 13 x 353

Step 4: Therefore, the least common multiple of 1053 and 1059 is 371709.