Least Common Multiple of 6029 and 6036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6029 and 6036 the smallest integer that is 36391044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6029 and 6036 is 36391044.

LCM(6029,6036) = 36391044

LCM of 6029 and 6036

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

LCM of:
and

Least Common Multiple of 6029 and 6036

LCM of 6029 and 6036 is 36391044

Least common multiple can be found by multiplying the highest exponent prime factors of 6029 and 6036. First we will calculate the prime factors of 6029 and 6036.

Prime Factorization of 6029


6029 6029
1

Prime factors of 6029 are 6029. Prime factorization of 6029 in exponential form is:

6029 = 60291

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2, 3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 6029 and 6036.

LCM(6029,6036) = 22×31×5031×60291
LCM(6029,6036) = 36391044

Factors of 6029

List of positive integer factors of 6029 that divides 6029 without a remainder.

1, 6029

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036

Least Common Multiple of 6029 and 6036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6029 and 6036, than apply into the LCM equation.

GCF(6029,6036) = 1
LCM(6029,6036) = ( 6029 × 6036) / 1
LCM(6029,6036) = 36391044 / 1
LCM(6029,6036) = 36391044

Properties of LCM 6029 and 6036

(i) The LCM of 6036 and 6029 is associative

LCM of 6029 and 6036 = LCM of 6036 and 6029

Related Least Common Multiples of 6029

Related Least Common Multiples of 6036

Frequently Asked Questions on LCM of 6029 and 6036

1. What is the LCM of 6029 and 6036?

Answer: LCM of 6029 and 6036 is 36391044.

2. What are the Factors of 6029?

Answer: Factors of 6029 are 1, 6029. There are 2 integers that are factors of 6029. The greatest factor of 6029 is 6029.

3. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

4. How to Find the LCM of 6029 and 6036?

Answer:

Least Common Multiple of 6029 and 6036 = 36391044

Step 1: Find the prime factorization of 6029

6029 = 6029

Step 2: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

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

LCM = 36391044 = 2 x 2 x 3 x 503 x 6029

Step 4: Therefore, the least common multiple of 6029 and 6036 is 36391044.