Least Common Multiple of 6066 and 6068

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 6068 the smallest integer that is 18404244 that is divisible by both numbers.

Least Common Multiple (LCM) of 6066 and 6068 is 18404244.

LCM(6066,6068) = 18404244

LCM of 6066 and 6068

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

LCM of:
and

Least Common Multiple of 6066 and 6068

LCM of 6066 and 6068 is 18404244

Least common multiple can be found by multiplying the highest exponent prime factors of 6066 and 6068. First we will calculate the prime factors of 6066 and 6068.

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 6068


2 6068
2 3034
37 1517
41 41
1

Prime factors of 6068 are 2, 37,41. Prime factorization of 6068 in exponential form is:

6068 = 22×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6066 and 6068.

LCM(6066,6068) = 22×32×371×411×3371
LCM(6066,6068) = 18404244

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 6068

List of positive integer factors of 6068 that divides 6068 without a remainder.

1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068

Least Common Multiple of 6066 and 6068 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 6068, than apply into the LCM equation.

GCF(6066,6068) = 2
LCM(6066,6068) = ( 6066 × 6068) / 2
LCM(6066,6068) = 36808488 / 2
LCM(6066,6068) = 18404244

Properties of LCM 6066 and 6068

(i) The LCM of 6068 and 6066 is associative

LCM of 6066 and 6068 = LCM of 6068 and 6066

Related Least Common Multiples of 6066

Related Least Common Multiples of 6068

Frequently Asked Questions on LCM of 6066 and 6068

1. What is the LCM of 6066 and 6068?

Answer: LCM of 6066 and 6068 is 18404244.

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 6068?

Answer: Factors of 6068 are 1, 2, 4, 37, 41, 74, 82, 148, 164, 1517, 3034, 6068. There are 12 integers that are factors of 6068. The greatest factor of 6068 is 6068.

4. How to Find the LCM of 6066 and 6068?

Answer:

Least Common Multiple of 6066 and 6068 = 18404244

Step 1: Find the prime factorization of 6066

6066 = 2 x 3 x 3 x 337

Step 2: Find the prime factorization of 6068

6068 = 2 x 2 x 37 x 41

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

LCM = 18404244 = 2 x 2 x 3 x 3 x 37 x 41 x 337

Step 4: Therefore, the least common multiple of 6066 and 6068 is 18404244.