Least Common Multiple of 6069 and 6073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6069 and 6073 the smallest integer that is 36857037 that is divisible by both numbers.

Least Common Multiple (LCM) of 6069 and 6073 is 36857037.

LCM(6069,6073) = 36857037

LCM of 6069 and 6073

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

LCM of:
and

Least Common Multiple of 6069 and 6073

LCM of 6069 and 6073 is 36857037

Least common multiple can be found by multiplying the highest exponent prime factors of 6069 and 6073. First we will calculate the prime factors of 6069 and 6073.

Prime Factorization of 6069


3 6069
7 2023
17 289
17 17
1

Prime factors of 6069 are 3, 7,17. Prime factorization of 6069 in exponential form is:

6069 = 31×71×172

Prime Factorization of 6073


6073 6073
1

Prime factors of 6073 are 6073. Prime factorization of 6073 in exponential form is:

6073 = 60731

Now multiplying the highest exponent prime factors to calculate the LCM of 6069 and 6073.

LCM(6069,6073) = 31×71×172×60731
LCM(6069,6073) = 36857037

Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069

Factors of 6073

List of positive integer factors of 6073 that divides 6073 without a remainder.

1, 6073

Least Common Multiple of 6069 and 6073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6069 and 6073, than apply into the LCM equation.

GCF(6069,6073) = 1
LCM(6069,6073) = ( 6069 × 6073) / 1
LCM(6069,6073) = 36857037 / 1
LCM(6069,6073) = 36857037

Properties of LCM 6069 and 6073

(i) The LCM of 6073 and 6069 is associative

LCM of 6069 and 6073 = LCM of 6073 and 6069

Related Least Common Multiples of 6069

Related Least Common Multiples of 6073

Frequently Asked Questions on LCM of 6069 and 6073

1. What is the LCM of 6069 and 6073?

Answer: LCM of 6069 and 6073 is 36857037.

2. What are the Factors of 6069?

Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.

3. What are the Factors of 6073?

Answer: Factors of 6073 are 1, 6073. There are 2 integers that are factors of 6073. The greatest factor of 6073 is 6073.

4. How to Find the LCM of 6069 and 6073?

Answer:

Least Common Multiple of 6069 and 6073 = 36857037

Step 1: Find the prime factorization of 6069

6069 = 3 x 7 x 17 x 17

Step 2: Find the prime factorization of 6073

6073 = 6073

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

LCM = 36857037 = 3 x 7 x 17 x 17 x 6073

Step 4: Therefore, the least common multiple of 6069 and 6073 is 36857037.