Least Common Multiple of 10062 and 10068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10062 and 10068 the smallest integer that is 16884036 that is divisible by both numbers.

Least Common Multiple (LCM) of 10062 and 10068 is 16884036.

LCM(10062,10068) = 16884036

LCM of 10062 and 10068

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

LCM of:
and

Least Common Multiple of 10062 and 10068

LCM of 10062 and 10068 is 16884036

Least common multiple can be found by multiplying the highest exponent prime factors of 10062 and 10068. First we will calculate the prime factors of 10062 and 10068.

Prime Factorization of 10062


2 10062
3 5031
3 1677
13 559
43 43
1

Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:

10062 = 21×32×131×431

Prime Factorization of 10068


2 10068
2 5034
3 2517
839 839
1

Prime factors of 10068 are 2, 3,839. Prime factorization of 10068 in exponential form is:

10068 = 22×31×8391

Now multiplying the highest exponent prime factors to calculate the LCM of 10062 and 10068.

LCM(10062,10068) = 22×32×131×431×8391
LCM(10062,10068) = 16884036

Factors of 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062

Factors of 10068

List of positive integer factors of 10068 that divides 10068 without a remainder.

1, 2, 3, 4, 6, 12, 839, 1678, 2517, 3356, 5034, 10068

Least Common Multiple of 10062 and 10068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10062 and 10068, than apply into the LCM equation.

GCF(10062,10068) = 6
LCM(10062,10068) = ( 10062 × 10068) / 6
LCM(10062,10068) = 101304216 / 6
LCM(10062,10068) = 16884036

Properties of LCM 10062 and 10068

(i) The LCM of 10068 and 10062 is associative

LCM of 10062 and 10068 = LCM of 10068 and 10062

Related Least Common Multiples of 10062

Related Least Common Multiples of 10068

Frequently Asked Questions on LCM of 10062 and 10068

1. What is the LCM of 10062 and 10068?

Answer: LCM of 10062 and 10068 is 16884036.

2. What are the Factors of 10062?

Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.

3. What are the Factors of 10068?

Answer: Factors of 10068 are 1, 2, 3, 4, 6, 12, 839, 1678, 2517, 3356, 5034, 10068. There are 12 integers that are factors of 10068. The greatest factor of 10068 is 10068.

4. How to Find the LCM of 10062 and 10068?

Answer:

Least Common Multiple of 10062 and 10068 = 16884036

Step 1: Find the prime factorization of 10062

10062 = 2 x 3 x 3 x 13 x 43

Step 2: Find the prime factorization of 10068

10068 = 2 x 2 x 3 x 839

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

LCM = 16884036 = 2 x 2 x 3 x 3 x 13 x 43 x 839

Step 4: Therefore, the least common multiple of 10062 and 10068 is 16884036.