Least Common Multiple of 10063 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 10063 and 10068 the smallest integer that is 101314284 that is divisible by both numbers.

Least Common Multiple (LCM) of 10063 and 10068 is 101314284.

LCM(10063,10068) = 101314284

LCM of 10063 and 10068

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

LCM of:
and

Least Common Multiple of 10063 and 10068

LCM of 10063 and 10068 is 101314284

Least common multiple can be found by multiplying the highest exponent prime factors of 10063 and 10068. First we will calculate the prime factors of 10063 and 10068.

Prime Factorization of 10063


29 10063
347 347
1

Prime factors of 10063 are 29,347. Prime factorization of 10063 in exponential form is:

10063 = 291×3471

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 10063 and 10068.

LCM(10063,10068) = 22×31×291×3471×8391
LCM(10063,10068) = 101314284

Factors of 10063

List of positive integer factors of 10063 that divides 10063 without a remainder.

1, 29, 347, 10063

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 10063 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 10063 and 10068, than apply into the LCM equation.

GCF(10063,10068) = 1
LCM(10063,10068) = ( 10063 × 10068) / 1
LCM(10063,10068) = 101314284 / 1
LCM(10063,10068) = 101314284

Properties of LCM 10063 and 10068

(i) The LCM of 10068 and 10063 is associative

LCM of 10063 and 10068 = LCM of 10068 and 10063

Related Least Common Multiples of 10063

Related Least Common Multiples of 10068

Frequently Asked Questions on LCM of 10063 and 10068

1. What is the LCM of 10063 and 10068?

Answer: LCM of 10063 and 10068 is 101314284.

2. What are the Factors of 10063?

Answer: Factors of 10063 are 1, 29, 347, 10063. There are 4 integers that are factors of 10063. The greatest factor of 10063 is 10063.

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 10063 and 10068?

Answer:

Least Common Multiple of 10063 and 10068 = 101314284

Step 1: Find the prime factorization of 10063

10063 = 29 x 347

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 = 101314284 = 2 x 2 x 3 x 29 x 347 x 839

Step 4: Therefore, the least common multiple of 10063 and 10068 is 101314284.