Least Common Multiple of 2044 and 2052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2044 and 2052 the smallest integer that is 1048572 that is divisible by both numbers.

Least Common Multiple (LCM) of 2044 and 2052 is 1048572.

LCM(2044,2052) = 1048572

LCM of 2044 and 2052

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

LCM of:
and

Least Common Multiple of 2044 and 2052

LCM of 2044 and 2052 is 1048572

Least common multiple can be found by multiplying the highest exponent prime factors of 2044 and 2052. First we will calculate the prime factors of 2044 and 2052.

Prime Factorization of 2044


2 2044
2 1022
7 511
73 73
1

Prime factors of 2044 are 2, 7,73. Prime factorization of 2044 in exponential form is:

2044 = 22×71×731

Prime Factorization of 2052


2 2052
2 1026
3 513
3 171
3 57
19 19
1

Prime factors of 2052 are 2, 3,19. Prime factorization of 2052 in exponential form is:

2052 = 22×33×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2044 and 2052.

LCM(2044,2052) = 22×33×71×191×731
LCM(2044,2052) = 1048572

Factors of 2044

List of positive integer factors of 2044 that divides 2044 without a remainder.

1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044

Factors of 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052

Least Common Multiple of 2044 and 2052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2044 and 2052, than apply into the LCM equation.

GCF(2044,2052) = 4
LCM(2044,2052) = ( 2044 × 2052) / 4
LCM(2044,2052) = 4194288 / 4
LCM(2044,2052) = 1048572

Properties of LCM 2044 and 2052

(i) The LCM of 2052 and 2044 is associative

LCM of 2044 and 2052 = LCM of 2052 and 2044

Related Least Common Multiples of 2044

Related Least Common Multiples of 2052

Frequently Asked Questions on LCM of 2044 and 2052

1. What is the LCM of 2044 and 2052?

Answer: LCM of 2044 and 2052 is 1048572.

2. What are the Factors of 2044?

Answer: Factors of 2044 are 1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044. There are 12 integers that are factors of 2044. The greatest factor of 2044 is 2044.

3. What are the Factors of 2052?

Answer: Factors of 2052 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 513, 684, 1026, 2052. There are 24 integers that are factors of 2052. The greatest factor of 2052 is 2052.

4. How to Find the LCM of 2044 and 2052?

Answer:

Least Common Multiple of 2044 and 2052 = 1048572

Step 1: Find the prime factorization of 2044

2044 = 2 x 2 x 7 x 73

Step 2: Find the prime factorization of 2052

2052 = 2 x 2 x 3 x 3 x 3 x 19

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

LCM = 1048572 = 2 x 2 x 3 x 3 x 3 x 7 x 19 x 73

Step 4: Therefore, the least common multiple of 2044 and 2052 is 1048572.