Least Common Multiple of 2050 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 2050 and 2052 the smallest integer that is 2103300 that is divisible by both numbers.

Least Common Multiple (LCM) of 2050 and 2052 is 2103300.

LCM(2050,2052) = 2103300

LCM of 2050 and 2052

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

LCM of:
and

Least Common Multiple of 2050 and 2052

LCM of 2050 and 2052 is 2103300

Least common multiple can be found by multiplying the highest exponent prime factors of 2050 and 2052. First we will calculate the prime factors of 2050 and 2052.

Prime Factorization of 2050


2 2050
5 1025
5 205
41 41
1

Prime factors of 2050 are 2, 5,41. Prime factorization of 2050 in exponential form is:

2050 = 21×52×411

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 2050 and 2052.

LCM(2050,2052) = 22×33×52×191×411
LCM(2050,2052) = 2103300

Factors of 2050

List of positive integer factors of 2050 that divides 2050 without a remainder.

1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050

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 2050 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 2050 and 2052, than apply into the LCM equation.

GCF(2050,2052) = 2
LCM(2050,2052) = ( 2050 × 2052) / 2
LCM(2050,2052) = 4206600 / 2
LCM(2050,2052) = 2103300

Properties of LCM 2050 and 2052

(i) The LCM of 2052 and 2050 is associative

LCM of 2050 and 2052 = LCM of 2052 and 2050

Related Least Common Multiples of 2050

Related Least Common Multiples of 2052

Frequently Asked Questions on LCM of 2050 and 2052

1. What is the LCM of 2050 and 2052?

Answer: LCM of 2050 and 2052 is 2103300.

2. What are the Factors of 2050?

Answer: Factors of 2050 are 1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050. There are 12 integers that are factors of 2050. The greatest factor of 2050 is 2050.

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 2050 and 2052?

Answer:

Least Common Multiple of 2050 and 2052 = 2103300

Step 1: Find the prime factorization of 2050

2050 = 2 x 5 x 5 x 41

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 = 2103300 = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 19 x 41

Step 4: Therefore, the least common multiple of 2050 and 2052 is 2103300.