Least Common Multiple of 6062 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 6062 and 6068 the smallest integer that is 18392108 that is divisible by both numbers.

Least Common Multiple (LCM) of 6062 and 6068 is 18392108.

LCM(6062,6068) = 18392108

LCM of 6062 and 6068

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

LCM of:
and

Least Common Multiple of 6062 and 6068

LCM of 6062 and 6068 is 18392108

Least common multiple can be found by multiplying the highest exponent prime factors of 6062 and 6068. First we will calculate the prime factors of 6062 and 6068.

Prime Factorization of 6062


2 6062
7 3031
433 433
1

Prime factors of 6062 are 2, 7,433. Prime factorization of 6062 in exponential form is:

6062 = 21×71×4331

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 6062 and 6068.

LCM(6062,6068) = 22×71×371×411×4331
LCM(6062,6068) = 18392108

Factors of 6062

List of positive integer factors of 6062 that divides 6062 without a remainder.

1, 2, 7, 14, 433, 866, 3031, 6062

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 6062 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 6062 and 6068, than apply into the LCM equation.

GCF(6062,6068) = 2
LCM(6062,6068) = ( 6062 × 6068) / 2
LCM(6062,6068) = 36784216 / 2
LCM(6062,6068) = 18392108

Properties of LCM 6062 and 6068

(i) The LCM of 6068 and 6062 is associative

LCM of 6062 and 6068 = LCM of 6068 and 6062

Related Least Common Multiples of 6062

Related Least Common Multiples of 6068

Frequently Asked Questions on LCM of 6062 and 6068

1. What is the LCM of 6062 and 6068?

Answer: LCM of 6062 and 6068 is 18392108.

2. What are the Factors of 6062?

Answer: Factors of 6062 are 1, 2, 7, 14, 433, 866, 3031, 6062. There are 8 integers that are factors of 6062. The greatest factor of 6062 is 6062.

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 6062 and 6068?

Answer:

Least Common Multiple of 6062 and 6068 = 18392108

Step 1: Find the prime factorization of 6062

6062 = 2 x 7 x 433

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 = 18392108 = 2 x 2 x 7 x 37 x 41 x 433

Step 4: Therefore, the least common multiple of 6062 and 6068 is 18392108.