Least Common Multiple of 1053 and 1057

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 1057 the smallest integer that is 1113021 that is divisible by both numbers.

Least Common Multiple (LCM) of 1053 and 1057 is 1113021.

LCM(1053,1057) = 1113021

LCM of 1053 and 1057

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

LCM of:
and

Least Common Multiple of 1053 and 1057

LCM of 1053 and 1057 is 1113021

Least common multiple can be found by multiplying the highest exponent prime factors of 1053 and 1057. First we will calculate the prime factors of 1053 and 1057.

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 1057


7 1057
151 151
1

Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:

1057 = 71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1053 and 1057.

LCM(1053,1057) = 34×71×131×1511
LCM(1053,1057) = 1113021

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 1057

List of positive integer factors of 1057 that divides 1057 without a remainder.

1, 7, 151, 1057

Least Common Multiple of 1053 and 1057 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 1057, than apply into the LCM equation.

GCF(1053,1057) = 1
LCM(1053,1057) = ( 1053 × 1057) / 1
LCM(1053,1057) = 1113021 / 1
LCM(1053,1057) = 1113021

Properties of LCM 1053 and 1057

(i) The LCM of 1057 and 1053 is associative

LCM of 1053 and 1057 = LCM of 1057 and 1053

Related Least Common Multiples of 1053

Related Least Common Multiples of 1057

Frequently Asked Questions on LCM of 1053 and 1057

1. What is the LCM of 1053 and 1057?

Answer: LCM of 1053 and 1057 is 1113021.

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 1057?

Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.

4. How to Find the LCM of 1053 and 1057?

Answer:

Least Common Multiple of 1053 and 1057 = 1113021

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 1057

1057 = 7 x 151

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

LCM = 1113021 = 3 x 3 x 3 x 3 x 7 x 13 x 151

Step 4: Therefore, the least common multiple of 1053 and 1057 is 1113021.