Least Common Multiple of 1053 and 1054

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 1054 the smallest integer that is 1109862 that is divisible by both numbers.

Least Common Multiple (LCM) of 1053 and 1054 is 1109862.

LCM(1053,1054) = 1109862

LCM of 1053 and 1054

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

LCM of:
and

Least Common Multiple of 1053 and 1054

LCM of 1053 and 1054 is 1109862

Least common multiple can be found by multiplying the highest exponent prime factors of 1053 and 1054. First we will calculate the prime factors of 1053 and 1054.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1053 and 1054.

LCM(1053,1054) = 21×34×131×171×311
LCM(1053,1054) = 1109862

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 1054

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

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

Least Common Multiple of 1053 and 1054 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 1054, than apply into the LCM equation.

GCF(1053,1054) = 1
LCM(1053,1054) = ( 1053 × 1054) / 1
LCM(1053,1054) = 1109862 / 1
LCM(1053,1054) = 1109862

Properties of LCM 1053 and 1054

(i) The LCM of 1054 and 1053 is associative

LCM of 1053 and 1054 = LCM of 1054 and 1053

Related Least Common Multiples of 1053

Related Least Common Multiples of 1054

Frequently Asked Questions on LCM of 1053 and 1054

1. What is the LCM of 1053 and 1054?

Answer: LCM of 1053 and 1054 is 1109862.

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 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.

4. How to Find the LCM of 1053 and 1054?

Answer:

Least Common Multiple of 1053 and 1054 = 1109862

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 1054

1054 = 2 x 17 x 31

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

LCM = 1109862 = 2 x 3 x 3 x 3 x 3 x 13 x 17 x 31

Step 4: Therefore, the least common multiple of 1053 and 1054 is 1109862.