Least Common Multiple of 2035 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 2035 and 2042 the smallest integer that is 4155470 that is divisible by both numbers.

Least Common Multiple (LCM) of 2035 and 2042 is 4155470.

LCM(2035,2042) = 4155470

LCM of 2035 and 2042

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

LCM of:
and

Least Common Multiple of 2035 and 2042

LCM of 2035 and 2042 is 4155470

Least common multiple can be found by multiplying the highest exponent prime factors of 2035 and 2042. First we will calculate the prime factors of 2035 and 2042.

Prime Factorization of 2035


5 2035
11 407
37 37
1

Prime factors of 2035 are 5, 11,37. Prime factorization of 2035 in exponential form is:

2035 = 51×111×371

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 2035 and 2042.

LCM(2035,2042) = 21×51×111×371×10211
LCM(2035,2042) = 4155470

Factors of 2035

List of positive integer factors of 2035 that divides 2035 without a remainder.

1, 5, 11, 37, 55, 185, 407, 2035

Factors of 2042

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

1, 2, 1021, 2042

Least Common Multiple of 2035 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 2035 and 2042, than apply into the LCM equation.

GCF(2035,2042) = 1
LCM(2035,2042) = ( 2035 × 2042) / 1
LCM(2035,2042) = 4155470 / 1
LCM(2035,2042) = 4155470

Properties of LCM 2035 and 2042

(i) The LCM of 2042 and 2035 is associative

LCM of 2035 and 2042 = LCM of 2042 and 2035

Related Least Common Multiples of 2035

Related Least Common Multiples of 2042

Frequently Asked Questions on LCM of 2035 and 2042

1. What is the LCM of 2035 and 2042?

Answer: LCM of 2035 and 2042 is 4155470.

2. What are the Factors of 2035?

Answer: Factors of 2035 are 1, 5, 11, 37, 55, 185, 407, 2035. There are 8 integers that are factors of 2035. The greatest factor of 2035 is 2035.

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 2035 and 2042?

Answer:

Least Common Multiple of 2035 and 2042 = 4155470

Step 1: Find the prime factorization of 2035

2035 = 5 x 11 x 37

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 = 4155470 = 2 x 5 x 11 x 37 x 1021

Step 4: Therefore, the least common multiple of 2035 and 2042 is 4155470.