Least Common Multiple of 6061 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 6061 and 6068 the smallest integer that is 36778148 that is divisible by both numbers.

Least Common Multiple (LCM) of 6061 and 6068 is 36778148.

LCM(6061,6068) = 36778148

LCM of 6061 and 6068

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

LCM of:
and

Least Common Multiple of 6061 and 6068

LCM of 6061 and 6068 is 36778148

Least common multiple can be found by multiplying the highest exponent prime factors of 6061 and 6068. First we will calculate the prime factors of 6061 and 6068.

Prime Factorization of 6061


11 6061
19 551
29 29
1

Prime factors of 6061 are 11, 19,29. Prime factorization of 6061 in exponential form is:

6061 = 111×191×291

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 6061 and 6068.

LCM(6061,6068) = 22×111×191×291×371×411
LCM(6061,6068) = 36778148

Factors of 6061

List of positive integer factors of 6061 that divides 6061 without a remainder.

1, 11, 19, 29, 209, 319, 551, 6061

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 6061 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 6061 and 6068, than apply into the LCM equation.

GCF(6061,6068) = 1
LCM(6061,6068) = ( 6061 × 6068) / 1
LCM(6061,6068) = 36778148 / 1
LCM(6061,6068) = 36778148

Properties of LCM 6061 and 6068

(i) The LCM of 6068 and 6061 is associative

LCM of 6061 and 6068 = LCM of 6068 and 6061

Related Least Common Multiples of 6061

Related Least Common Multiples of 6068

Frequently Asked Questions on LCM of 6061 and 6068

1. What is the LCM of 6061 and 6068?

Answer: LCM of 6061 and 6068 is 36778148.

2. What are the Factors of 6061?

Answer: Factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061. There are 8 integers that are factors of 6061. The greatest factor of 6061 is 6061.

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 6061 and 6068?

Answer:

Least Common Multiple of 6061 and 6068 = 36778148

Step 1: Find the prime factorization of 6061

6061 = 11 x 19 x 29

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 = 36778148 = 2 x 2 x 11 x 19 x 29 x 37 x 41

Step 4: Therefore, the least common multiple of 6061 and 6068 is 36778148.