Least Common Multiple of 2029 and 2036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2029 and 2036 the smallest integer that is 4131044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2029 and 2036 is 4131044.

LCM(2029,2036) = 4131044

LCM of 2029 and 2036

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

LCM of:
and

Least Common Multiple of 2029 and 2036

LCM of 2029 and 2036 is 4131044

Least common multiple can be found by multiplying the highest exponent prime factors of 2029 and 2036. First we will calculate the prime factors of 2029 and 2036.

Prime Factorization of 2029


2029 2029
1

Prime factors of 2029 are 2029. Prime factorization of 2029 in exponential form is:

2029 = 20291

Prime Factorization of 2036


2 2036
2 1018
509 509
1

Prime factors of 2036 are 2,509. Prime factorization of 2036 in exponential form is:

2036 = 22×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 2029 and 2036.

LCM(2029,2036) = 22×5091×20291
LCM(2029,2036) = 4131044

Factors of 2029

List of positive integer factors of 2029 that divides 2029 without a remainder.

1, 2029

Factors of 2036

List of positive integer factors of 2036 that divides 2036 without a remainder.

1, 2, 4, 509, 1018, 2036

Least Common Multiple of 2029 and 2036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2029 and 2036, than apply into the LCM equation.

GCF(2029,2036) = 1
LCM(2029,2036) = ( 2029 × 2036) / 1
LCM(2029,2036) = 4131044 / 1
LCM(2029,2036) = 4131044

Properties of LCM 2029 and 2036

(i) The LCM of 2036 and 2029 is associative

LCM of 2029 and 2036 = LCM of 2036 and 2029

Related Least Common Multiples of 2029

Related Least Common Multiples of 2036

Frequently Asked Questions on LCM of 2029 and 2036

1. What is the LCM of 2029 and 2036?

Answer: LCM of 2029 and 2036 is 4131044.

2. What are the Factors of 2029?

Answer: Factors of 2029 are 1, 2029. There are 2 integers that are factors of 2029. The greatest factor of 2029 is 2029.

3. What are the Factors of 2036?

Answer: Factors of 2036 are 1, 2, 4, 509, 1018, 2036. There are 6 integers that are factors of 2036. The greatest factor of 2036 is 2036.

4. How to Find the LCM of 2029 and 2036?

Answer:

Least Common Multiple of 2029 and 2036 = 4131044

Step 1: Find the prime factorization of 2029

2029 = 2029

Step 2: Find the prime factorization of 2036

2036 = 2 x 2 x 509

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

LCM = 4131044 = 2 x 2 x 509 x 2029

Step 4: Therefore, the least common multiple of 2029 and 2036 is 4131044.