Least Common Multiple of 2037 and 2042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2037 and 2042 the smallest integer that is 4159554 that is divisible by both numbers.

Least Common Multiple (LCM) of 2037 and 2042 is 4159554.

LCM(2037,2042) = 4159554

LCM of 2037 and 2042

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

LCM of:
and

Least Common Multiple of 2037 and 2042

LCM of 2037 and 2042 is 4159554

Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2042. First we will calculate the prime factors of 2037 and 2042.

Prime Factorization of 2037


3 2037
7 679
97 97
1

Prime factors of 2037 are 3, 7,97. Prime factorization of 2037 in exponential form is:

2037 = 31×71×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2042.

LCM(2037,2042) = 21×31×71×971×10211
LCM(2037,2042) = 4159554

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1, 3, 7, 21, 97, 291, 679, 2037

Factors of 2042

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

1, 2, 1021, 2042

Least Common Multiple of 2037 and 2042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2037 and 2042, than apply into the LCM equation.

GCF(2037,2042) = 1
LCM(2037,2042) = ( 2037 × 2042) / 1
LCM(2037,2042) = 4159554 / 1
LCM(2037,2042) = 4159554

Properties of LCM 2037 and 2042

(i) The LCM of 2042 and 2037 is associative

LCM of 2037 and 2042 = LCM of 2042 and 2037

Related Least Common Multiples of 2037

Related Least Common Multiples of 2042

Frequently Asked Questions on LCM of 2037 and 2042

1. What is the LCM of 2037 and 2042?

Answer: LCM of 2037 and 2042 is 4159554.

2. What are the Factors of 2037?

Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.

3. 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.

4. How to Find the LCM of 2037 and 2042?

Answer:

Least Common Multiple of 2037 and 2042 = 4159554

Step 1: Find the prime factorization of 2037

2037 = 3 x 7 x 97

Step 2: Find the prime factorization of 2042

2042 = 2 x 1021

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

LCM = 4159554 = 2 x 3 x 7 x 97 x 1021

Step 4: Therefore, the least common multiple of 2037 and 2042 is 4159554.