Least Common Multiple of 1052 and 1053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1052 and 1053 the smallest integer that is 1107756 that is divisible by both numbers.

Least Common Multiple (LCM) of 1052 and 1053 is 1107756.

LCM(1052,1053) = 1107756

LCM of 1052 and 1053

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

LCM of:
and

Least Common Multiple of 1052 and 1053

LCM of 1052 and 1053 is 1107756

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1053. First we will calculate the prime factors of 1052 and 1053.

Prime Factorization of 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1052 and 1053.

LCM(1052,1053) = 22×34×131×2631
LCM(1052,1053) = 1107756

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1, 2, 4, 263, 526, 1052

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

Least Common Multiple of 1052 and 1053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1052 and 1053, than apply into the LCM equation.

GCF(1052,1053) = 1
LCM(1052,1053) = ( 1052 × 1053) / 1
LCM(1052,1053) = 1107756 / 1
LCM(1052,1053) = 1107756

Properties of LCM 1052 and 1053

(i) The LCM of 1053 and 1052 is associative

LCM of 1052 and 1053 = LCM of 1053 and 1052

Related Least Common Multiples of 1052

Related Least Common Multiples of 1053

Frequently Asked Questions on LCM of 1052 and 1053

1. What is the LCM of 1052 and 1053?

Answer: LCM of 1052 and 1053 is 1107756.

2. What are the Factors of 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

3. 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.

4. How to Find the LCM of 1052 and 1053?

Answer:

Least Common Multiple of 1052 and 1053 = 1107756

Step 1: Find the prime factorization of 1052

1052 = 2 x 2 x 263

Step 2: Find the prime factorization of 1053

1053 = 3 x 3 x 3 x 3 x 13

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

LCM = 1107756 = 2 x 2 x 3 x 3 x 3 x 3 x 13 x 263

Step 4: Therefore, the least common multiple of 1052 and 1053 is 1107756.