Least Common Multiple of 2049 and 2050

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2049 and 2050 the smallest integer that is 4200450 that is divisible by both numbers.

Least Common Multiple (LCM) of 2049 and 2050 is 4200450.

LCM(2049,2050) = 4200450

LCM of 2049 and 2050

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

LCM of:
and

Least Common Multiple of 2049 and 2050

LCM of 2049 and 2050 is 4200450

Least common multiple can be found by multiplying the highest exponent prime factors of 2049 and 2050. First we will calculate the prime factors of 2049 and 2050.

Prime Factorization of 2049


3 2049
683 683
1

Prime factors of 2049 are 3,683. Prime factorization of 2049 in exponential form is:

2049 = 31×6831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2049 and 2050.

LCM(2049,2050) = 21×31×52×411×6831
LCM(2049,2050) = 4200450

Factors of 2049

List of positive integer factors of 2049 that divides 2049 without a remainder.

1, 3, 683, 2049

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

Least Common Multiple of 2049 and 2050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2049 and 2050, than apply into the LCM equation.

GCF(2049,2050) = 1
LCM(2049,2050) = ( 2049 × 2050) / 1
LCM(2049,2050) = 4200450 / 1
LCM(2049,2050) = 4200450

Properties of LCM 2049 and 2050

(i) The LCM of 2050 and 2049 is associative

LCM of 2049 and 2050 = LCM of 2050 and 2049

Related Least Common Multiples of 2049

Related Least Common Multiples of 2050

Frequently Asked Questions on LCM of 2049 and 2050

1. What is the LCM of 2049 and 2050?

Answer: LCM of 2049 and 2050 is 4200450.

2. What are the Factors of 2049?

Answer: Factors of 2049 are 1, 3, 683, 2049. There are 4 integers that are factors of 2049. The greatest factor of 2049 is 2049.

3. 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.

4. How to Find the LCM of 2049 and 2050?

Answer:

Least Common Multiple of 2049 and 2050 = 4200450

Step 1: Find the prime factorization of 2049

2049 = 3 x 683

Step 2: Find the prime factorization of 2050

2050 = 2 x 5 x 5 x 41

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

LCM = 4200450 = 2 x 3 x 5 x 5 x 41 x 683

Step 4: Therefore, the least common multiple of 2049 and 2050 is 4200450.