Least Common Multiple of 6069 and 6072

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 6072 the smallest integer that is 12283656 that is divisible by both numbers.

Least Common Multiple (LCM) of 6069 and 6072 is 12283656.

LCM(6069,6072) = 12283656

LCM of 6069 and 6072

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

LCM of:
and

Least Common Multiple of 6069 and 6072

LCM of 6069 and 6072 is 12283656

Least common multiple can be found by multiplying the highest exponent prime factors of 6069 and 6072. First we will calculate the prime factors of 6069 and 6072.

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 6072


2 6072
2 3036
2 1518
3 759
11 253
23 23
1

Prime factors of 6072 are 2, 3, 11,23. Prime factorization of 6072 in exponential form is:

6072 = 23×31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6069 and 6072.

LCM(6069,6072) = 23×31×71×111×172×231
LCM(6069,6072) = 12283656

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 6072

List of positive integer factors of 6072 that divides 6072 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072

Least Common Multiple of 6069 and 6072 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 6072, than apply into the LCM equation.

GCF(6069,6072) = 3
LCM(6069,6072) = ( 6069 × 6072) / 3
LCM(6069,6072) = 36850968 / 3
LCM(6069,6072) = 12283656

Properties of LCM 6069 and 6072

(i) The LCM of 6072 and 6069 is associative

LCM of 6069 and 6072 = LCM of 6072 and 6069

Related Least Common Multiples of 6069

Related Least Common Multiples of 6072

Frequently Asked Questions on LCM of 6069 and 6072

1. What is the LCM of 6069 and 6072?

Answer: LCM of 6069 and 6072 is 12283656.

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 6072?

Answer: Factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072. There are 32 integers that are factors of 6072. The greatest factor of 6072 is 6072.

4. How to Find the LCM of 6069 and 6072?

Answer:

Least Common Multiple of 6069 and 6072 = 12283656

Step 1: Find the prime factorization of 6069

6069 = 3 x 7 x 17 x 17

Step 2: Find the prime factorization of 6072

6072 = 2 x 2 x 2 x 3 x 11 x 23

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

LCM = 12283656 = 2 x 2 x 2 x 3 x 7 x 11 x 17 x 17 x 23

Step 4: Therefore, the least common multiple of 6069 and 6072 is 12283656.