Least Common Multiple of 2050 and 2054

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 2054 the smallest integer that is 2105350 that is divisible by both numbers.

Least Common Multiple (LCM) of 2050 and 2054 is 2105350.

LCM(2050,2054) = 2105350

LCM of 2050 and 2054

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

LCM of:
and

Least Common Multiple of 2050 and 2054

LCM of 2050 and 2054 is 2105350

Least common multiple can be found by multiplying the highest exponent prime factors of 2050 and 2054. First we will calculate the prime factors of 2050 and 2054.

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 2054


2 2054
13 1027
79 79
1

Prime factors of 2054 are 2, 13,79. Prime factorization of 2054 in exponential form is:

2054 = 21×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2050 and 2054.

LCM(2050,2054) = 21×52×131×411×791
LCM(2050,2054) = 2105350

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 2054

List of positive integer factors of 2054 that divides 2054 without a remainder.

1, 2, 13, 26, 79, 158, 1027, 2054

Least Common Multiple of 2050 and 2054 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 2054, than apply into the LCM equation.

GCF(2050,2054) = 2
LCM(2050,2054) = ( 2050 × 2054) / 2
LCM(2050,2054) = 4210700 / 2
LCM(2050,2054) = 2105350

Properties of LCM 2050 and 2054

(i) The LCM of 2054 and 2050 is associative

LCM of 2050 and 2054 = LCM of 2054 and 2050

Related Least Common Multiples of 2050

Related Least Common Multiples of 2054

Frequently Asked Questions on LCM of 2050 and 2054

1. What is the LCM of 2050 and 2054?

Answer: LCM of 2050 and 2054 is 2105350.

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 2054?

Answer: Factors of 2054 are 1, 2, 13, 26, 79, 158, 1027, 2054. There are 8 integers that are factors of 2054. The greatest factor of 2054 is 2054.

4. How to Find the LCM of 2050 and 2054?

Answer:

Least Common Multiple of 2050 and 2054 = 2105350

Step 1: Find the prime factorization of 2050

2050 = 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 2054

2054 = 2 x 13 x 79

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

LCM = 2105350 = 2 x 5 x 5 x 13 x 41 x 79

Step 4: Therefore, the least common multiple of 2050 and 2054 is 2105350.