Least Common Multiple of 6029 and 6037

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 6037 the smallest integer that is 36397073 that is divisible by both numbers.

Least Common Multiple (LCM) of 6029 and 6037 is 36397073.

LCM(6029,6037) = 36397073

LCM of 6029 and 6037

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

LCM of:
and

Least Common Multiple of 6029 and 6037

LCM of 6029 and 6037 is 36397073

Least common multiple can be found by multiplying the highest exponent prime factors of 6029 and 6037. First we will calculate the prime factors of 6029 and 6037.

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 6037


6037 6037
1

Prime factors of 6037 are 6037. Prime factorization of 6037 in exponential form is:

6037 = 60371

Now multiplying the highest exponent prime factors to calculate the LCM of 6029 and 6037.

LCM(6029,6037) = 60291×60371
LCM(6029,6037) = 36397073

Factors of 6029

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

1, 6029

Factors of 6037

List of positive integer factors of 6037 that divides 6037 without a remainder.

1, 6037

Least Common Multiple of 6029 and 6037 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 6037, than apply into the LCM equation.

GCF(6029,6037) = 1
LCM(6029,6037) = ( 6029 × 6037) / 1
LCM(6029,6037) = 36397073 / 1
LCM(6029,6037) = 36397073

Properties of LCM 6029 and 6037

(i) The LCM of 6037 and 6029 is associative

LCM of 6029 and 6037 = LCM of 6037 and 6029

Related Least Common Multiples of 6029

Related Least Common Multiples of 6037

Frequently Asked Questions on LCM of 6029 and 6037

1. What is the LCM of 6029 and 6037?

Answer: LCM of 6029 and 6037 is 36397073.

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 6037?

Answer: Factors of 6037 are 1, 6037. There are 2 integers that are factors of 6037. The greatest factor of 6037 is 6037.

4. How to Find the LCM of 6029 and 6037?

Answer:

Least Common Multiple of 6029 and 6037 = 36397073

Step 1: Find the prime factorization of 6029

6029 = 6029

Step 2: Find the prime factorization of 6037

6037 = 6037

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

LCM = 36397073 = 6029 x 6037

Step 4: Therefore, the least common multiple of 6029 and 6037 is 36397073.