Least Common Multiple of 6066 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 6066 and 6072 the smallest integer that is 6138792 that is divisible by both numbers.

Least Common Multiple (LCM) of 6066 and 6072 is 6138792.

LCM(6066,6072) = 6138792

LCM of 6066 and 6072

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

LCM of:
and

Least Common Multiple of 6066 and 6072

LCM of 6066 and 6072 is 6138792

Least common multiple can be found by multiplying the highest exponent prime factors of 6066 and 6072. First we will calculate the prime factors of 6066 and 6072.

Prime Factorization of 6066


2 6066
3 3033
3 1011
337 337
1

Prime factors of 6066 are 2, 3,337. Prime factorization of 6066 in exponential form is:

6066 = 21×32×3371

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 6066 and 6072.

LCM(6066,6072) = 23×32×111×231×3371
LCM(6066,6072) = 6138792

Factors of 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066

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 6066 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 6066 and 6072, than apply into the LCM equation.

GCF(6066,6072) = 6
LCM(6066,6072) = ( 6066 × 6072) / 6
LCM(6066,6072) = 36832752 / 6
LCM(6066,6072) = 6138792

Properties of LCM 6066 and 6072

(i) The LCM of 6072 and 6066 is associative

LCM of 6066 and 6072 = LCM of 6072 and 6066

Related Least Common Multiples of 6066

Related Least Common Multiples of 6072

Frequently Asked Questions on LCM of 6066 and 6072

1. What is the LCM of 6066 and 6072?

Answer: LCM of 6066 and 6072 is 6138792.

2. What are the Factors of 6066?

Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.

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 6066 and 6072?

Answer:

Least Common Multiple of 6066 and 6072 = 6138792

Step 1: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

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 = 6138792 = 2 x 2 x 2 x 3 x 3 x 11 x 23 x 337

Step 4: Therefore, the least common multiple of 6066 and 6072 is 6138792.