Least Common Multiple of 6067 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 6067 and 6072 the smallest integer that is 36838824 that is divisible by both numbers.

Least Common Multiple (LCM) of 6067 and 6072 is 36838824.

LCM(6067,6072) = 36838824

LCM of 6067 and 6072

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

LCM of:
and

Least Common Multiple of 6067 and 6072

LCM of 6067 and 6072 is 36838824

Least common multiple can be found by multiplying the highest exponent prime factors of 6067 and 6072. First we will calculate the prime factors of 6067 and 6072.

Prime Factorization of 6067


6067 6067
1

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 60671

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 6067 and 6072.

LCM(6067,6072) = 23×31×111×231×60671
LCM(6067,6072) = 36838824

Factors of 6067

List of positive integer factors of 6067 that divides 6067 without a remainder.

1, 6067

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 6067 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 6067 and 6072, than apply into the LCM equation.

GCF(6067,6072) = 1
LCM(6067,6072) = ( 6067 × 6072) / 1
LCM(6067,6072) = 36838824 / 1
LCM(6067,6072) = 36838824

Properties of LCM 6067 and 6072

(i) The LCM of 6072 and 6067 is associative

LCM of 6067 and 6072 = LCM of 6072 and 6067

Related Least Common Multiples of 6067

Related Least Common Multiples of 6072

Frequently Asked Questions on LCM of 6067 and 6072

1. What is the LCM of 6067 and 6072?

Answer: LCM of 6067 and 6072 is 36838824.

2. What are the Factors of 6067?

Answer: Factors of 6067 are 1, 6067. There are 2 integers that are factors of 6067. The greatest factor of 6067 is 6067.

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 6067 and 6072?

Answer:

Least Common Multiple of 6067 and 6072 = 36838824

Step 1: Find the prime factorization of 6067

6067 = 6067

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 = 36838824 = 2 x 2 x 2 x 3 x 11 x 23 x 6067

Step 4: Therefore, the least common multiple of 6067 and 6072 is 36838824.