Least Common Multiple of 6029 and 6033

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 6033 the smallest integer that is 36372957 that is divisible by both numbers.

Least Common Multiple (LCM) of 6029 and 6033 is 36372957.

LCM(6029,6033) = 36372957

LCM of 6029 and 6033

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

LCM of:
and

Least Common Multiple of 6029 and 6033

LCM of 6029 and 6033 is 36372957

Least common multiple can be found by multiplying the highest exponent prime factors of 6029 and 6033. First we will calculate the prime factors of 6029 and 6033.

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 6033


3 6033
2011 2011
1

Prime factors of 6033 are 3,2011. Prime factorization of 6033 in exponential form is:

6033 = 31×20111

Now multiplying the highest exponent prime factors to calculate the LCM of 6029 and 6033.

LCM(6029,6033) = 31×20111×60291
LCM(6029,6033) = 36372957

Factors of 6029

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

1, 6029

Factors of 6033

List of positive integer factors of 6033 that divides 6033 without a remainder.

1, 3, 2011, 6033

Least Common Multiple of 6029 and 6033 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 6033, than apply into the LCM equation.

GCF(6029,6033) = 1
LCM(6029,6033) = ( 6029 × 6033) / 1
LCM(6029,6033) = 36372957 / 1
LCM(6029,6033) = 36372957

Properties of LCM 6029 and 6033

(i) The LCM of 6033 and 6029 is associative

LCM of 6029 and 6033 = LCM of 6033 and 6029

Related Least Common Multiples of 6029

Related Least Common Multiples of 6033

Frequently Asked Questions on LCM of 6029 and 6033

1. What is the LCM of 6029 and 6033?

Answer: LCM of 6029 and 6033 is 36372957.

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 6033?

Answer: Factors of 6033 are 1, 3, 2011, 6033. There are 4 integers that are factors of 6033. The greatest factor of 6033 is 6033.

4. How to Find the LCM of 6029 and 6033?

Answer:

Least Common Multiple of 6029 and 6033 = 36372957

Step 1: Find the prime factorization of 6029

6029 = 6029

Step 2: Find the prime factorization of 6033

6033 = 3 x 2011

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

LCM = 36372957 = 3 x 2011 x 6029

Step 4: Therefore, the least common multiple of 6029 and 6033 is 36372957.