Least Common Multiple of 2050 and 2055

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 2055 the smallest integer that is 842550 that is divisible by both numbers.

Least Common Multiple (LCM) of 2050 and 2055 is 842550.

LCM(2050,2055) = 842550

LCM of 2050 and 2055

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

LCM of:
and

Least Common Multiple of 2050 and 2055

LCM of 2050 and 2055 is 842550

Least common multiple can be found by multiplying the highest exponent prime factors of 2050 and 2055. First we will calculate the prime factors of 2050 and 2055.

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 2055


3 2055
5 685
137 137
1

Prime factors of 2055 are 3, 5,137. Prime factorization of 2055 in exponential form is:

2055 = 31×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2050 and 2055.

LCM(2050,2055) = 21×31×52×411×1371
LCM(2050,2055) = 842550

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 2055

List of positive integer factors of 2055 that divides 2055 without a remainder.

1, 3, 5, 15, 137, 411, 685, 2055

Least Common Multiple of 2050 and 2055 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 2055, than apply into the LCM equation.

GCF(2050,2055) = 5
LCM(2050,2055) = ( 2050 × 2055) / 5
LCM(2050,2055) = 4212750 / 5
LCM(2050,2055) = 842550

Properties of LCM 2050 and 2055

(i) The LCM of 2055 and 2050 is associative

LCM of 2050 and 2055 = LCM of 2055 and 2050

Related Least Common Multiples of 2050

Related Least Common Multiples of 2055

Frequently Asked Questions on LCM of 2050 and 2055

1. What is the LCM of 2050 and 2055?

Answer: LCM of 2050 and 2055 is 842550.

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 2055?

Answer: Factors of 2055 are 1, 3, 5, 15, 137, 411, 685, 2055. There are 8 integers that are factors of 2055. The greatest factor of 2055 is 2055.

4. How to Find the LCM of 2050 and 2055?

Answer:

Least Common Multiple of 2050 and 2055 = 842550

Step 1: Find the prime factorization of 2050

2050 = 2 x 5 x 5 x 41

Step 2: Find the prime factorization of 2055

2055 = 3 x 5 x 137

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

LCM = 842550 = 2 x 3 x 5 x 5 x 41 x 137

Step 4: Therefore, the least common multiple of 2050 and 2055 is 842550.