Least Common Multiple of 2035 and 2043

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 2043 the smallest integer that is 4157505 that is divisible by both numbers.

Least Common Multiple (LCM) of 2035 and 2043 is 4157505.

LCM(2035,2043) = 4157505

LCM of 2035 and 2043

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

LCM of:
and

Least Common Multiple of 2035 and 2043

LCM of 2035 and 2043 is 4157505

Least common multiple can be found by multiplying the highest exponent prime factors of 2035 and 2043. First we will calculate the prime factors of 2035 and 2043.

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 2043


3 2043
3 681
227 227
1

Prime factors of 2043 are 3,227. Prime factorization of 2043 in exponential form is:

2043 = 32×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2035 and 2043.

LCM(2035,2043) = 32×51×111×371×2271
LCM(2035,2043) = 4157505

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 2043

List of positive integer factors of 2043 that divides 2043 without a remainder.

1, 3, 9, 227, 681, 2043

Least Common Multiple of 2035 and 2043 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 2043, than apply into the LCM equation.

GCF(2035,2043) = 1
LCM(2035,2043) = ( 2035 × 2043) / 1
LCM(2035,2043) = 4157505 / 1
LCM(2035,2043) = 4157505

Properties of LCM 2035 and 2043

(i) The LCM of 2043 and 2035 is associative

LCM of 2035 and 2043 = LCM of 2043 and 2035

Related Least Common Multiples of 2035

Related Least Common Multiples of 2043

Frequently Asked Questions on LCM of 2035 and 2043

1. What is the LCM of 2035 and 2043?

Answer: LCM of 2035 and 2043 is 4157505.

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 2043?

Answer: Factors of 2043 are 1, 3, 9, 227, 681, 2043. There are 6 integers that are factors of 2043. The greatest factor of 2043 is 2043.

4. How to Find the LCM of 2035 and 2043?

Answer:

Least Common Multiple of 2035 and 2043 = 4157505

Step 1: Find the prime factorization of 2035

2035 = 5 x 11 x 37

Step 2: Find the prime factorization of 2043

2043 = 3 x 3 x 227

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

LCM = 4157505 = 3 x 3 x 5 x 11 x 37 x 227

Step 4: Therefore, the least common multiple of 2035 and 2043 is 4157505.