Least Common Multiple of 2042 and 2049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2042 and 2049 the smallest integer that is 4184058 that is divisible by both numbers.

Least Common Multiple (LCM) of 2042 and 2049 is 4184058.

LCM(2042,2049) = 4184058

LCM of 2042 and 2049

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

LCM of:
and

Least Common Multiple of 2042 and 2049

LCM of 2042 and 2049 is 4184058

Least common multiple can be found by multiplying the highest exponent prime factors of 2042 and 2049. First we will calculate the prime factors of 2042 and 2049.

Prime Factorization of 2042


2 2042
1021 1021
1

Prime factors of 2042 are 2,1021. Prime factorization of 2042 in exponential form is:

2042 = 21×10211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2042 and 2049.

LCM(2042,2049) = 21×31×6831×10211
LCM(2042,2049) = 4184058

Factors of 2042

List of positive integer factors of 2042 that divides 2042 without a remainder.

1, 2, 1021, 2042

Factors of 2049

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

1, 3, 683, 2049

Least Common Multiple of 2042 and 2049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2042 and 2049, than apply into the LCM equation.

GCF(2042,2049) = 1
LCM(2042,2049) = ( 2042 × 2049) / 1
LCM(2042,2049) = 4184058 / 1
LCM(2042,2049) = 4184058

Properties of LCM 2042 and 2049

(i) The LCM of 2049 and 2042 is associative

LCM of 2042 and 2049 = LCM of 2049 and 2042

Related Least Common Multiples of 2042

Related Least Common Multiples of 2049

Frequently Asked Questions on LCM of 2042 and 2049

1. What is the LCM of 2042 and 2049?

Answer: LCM of 2042 and 2049 is 4184058.

2. What are the Factors of 2042?

Answer: Factors of 2042 are 1, 2, 1021, 2042. There are 4 integers that are factors of 2042. The greatest factor of 2042 is 2042.

3. 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.

4. How to Find the LCM of 2042 and 2049?

Answer:

Least Common Multiple of 2042 and 2049 = 4184058

Step 1: Find the prime factorization of 2042

2042 = 2 x 1021

Step 2: Find the prime factorization of 2049

2049 = 3 x 683

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

LCM = 4184058 = 2 x 3 x 683 x 1021

Step 4: Therefore, the least common multiple of 2042 and 2049 is 4184058.