Least Common Multiple of 1044 and 1052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1044 and 1052 the smallest integer that is 274572 that is divisible by both numbers.

Least Common Multiple (LCM) of 1044 and 1052 is 274572.

LCM(1044,1052) = 274572

LCM of 1044 and 1052

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

LCM of:
and

Least Common Multiple of 1044 and 1052

LCM of 1044 and 1052 is 274572

Least common multiple can be found by multiplying the highest exponent prime factors of 1044 and 1052. First we will calculate the prime factors of 1044 and 1052.

Prime Factorization of 1044


2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 1044 are 2, 3,29. Prime factorization of 1044 in exponential form is:

1044 = 22×32×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1052.

LCM(1044,1052) = 22×32×291×2631
LCM(1044,1052) = 274572

Factors of 1044

List of positive integer factors of 1044 that divides 1044 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044

Factors of 1052

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

1, 2, 4, 263, 526, 1052

Least Common Multiple of 1044 and 1052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1044 and 1052, than apply into the LCM equation.

GCF(1044,1052) = 4
LCM(1044,1052) = ( 1044 × 1052) / 4
LCM(1044,1052) = 1098288 / 4
LCM(1044,1052) = 274572

Properties of LCM 1044 and 1052

(i) The LCM of 1052 and 1044 is associative

LCM of 1044 and 1052 = LCM of 1052 and 1044

Related Least Common Multiples of 1044

Related Least Common Multiples of 1052

Frequently Asked Questions on LCM of 1044 and 1052

1. What is the LCM of 1044 and 1052?

Answer: LCM of 1044 and 1052 is 274572.

2. What are the Factors of 1044?

Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.

3. 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.

4. How to Find the LCM of 1044 and 1052?

Answer:

Least Common Multiple of 1044 and 1052 = 274572

Step 1: Find the prime factorization of 1044

1044 = 2 x 2 x 3 x 3 x 29

Step 2: Find the prime factorization of 1052

1052 = 2 x 2 x 263

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

LCM = 274572 = 2 x 2 x 3 x 3 x 29 x 263

Step 4: Therefore, the least common multiple of 1044 and 1052 is 274572.