Least Common Multiple of 6022 and 6029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6022 and 6029 the smallest integer that is 36306638 that is divisible by both numbers.

Least Common Multiple (LCM) of 6022 and 6029 is 36306638.

LCM(6022,6029) = 36306638

LCM of 6022 and 6029

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

LCM of:
and

Least Common Multiple of 6022 and 6029

LCM of 6022 and 6029 is 36306638

Least common multiple can be found by multiplying the highest exponent prime factors of 6022 and 6029. First we will calculate the prime factors of 6022 and 6029.

Prime Factorization of 6022


2 6022
3011 3011
1

Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:

6022 = 21×30111

Prime Factorization of 6029


6029 6029
1

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

6029 = 60291

Now multiplying the highest exponent prime factors to calculate the LCM of 6022 and 6029.

LCM(6022,6029) = 21×30111×60291
LCM(6022,6029) = 36306638

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1, 2, 3011, 6022

Factors of 6029

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

1, 6029

Least Common Multiple of 6022 and 6029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6022 and 6029, than apply into the LCM equation.

GCF(6022,6029) = 1
LCM(6022,6029) = ( 6022 × 6029) / 1
LCM(6022,6029) = 36306638 / 1
LCM(6022,6029) = 36306638

Properties of LCM 6022 and 6029

(i) The LCM of 6029 and 6022 is associative

LCM of 6022 and 6029 = LCM of 6029 and 6022

Related Least Common Multiples of 6022

Related Least Common Multiples of 6029

Frequently Asked Questions on LCM of 6022 and 6029

1. What is the LCM of 6022 and 6029?

Answer: LCM of 6022 and 6029 is 36306638.

2. What are the Factors of 6022?

Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.

3. 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.

4. How to Find the LCM of 6022 and 6029?

Answer:

Least Common Multiple of 6022 and 6029 = 36306638

Step 1: Find the prime factorization of 6022

6022 = 2 x 3011

Step 2: Find the prime factorization of 6029

6029 = 6029

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

LCM = 36306638 = 2 x 3011 x 6029

Step 4: Therefore, the least common multiple of 6022 and 6029 is 36306638.