Least Common Multiple of 11063 and 11068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11063 and 11068 the smallest integer that is 122445284 that is divisible by both numbers.

Least Common Multiple (LCM) of 11063 and 11068 is 122445284.

LCM(11063,11068) = 122445284

LCM of 11063 and 11068

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

LCM of:
and

Least Common Multiple of 11063 and 11068

LCM of 11063 and 11068 is 122445284

Least common multiple can be found by multiplying the highest exponent prime factors of 11063 and 11068. First we will calculate the prime factors of 11063 and 11068.

Prime Factorization of 11063


13 11063
23 851
37 37
1

Prime factors of 11063 are 13, 23,37. Prime factorization of 11063 in exponential form is:

11063 = 131×231×371

Prime Factorization of 11068


2 11068
2 5534
2767 2767
1

Prime factors of 11068 are 2,2767. Prime factorization of 11068 in exponential form is:

11068 = 22×27671

Now multiplying the highest exponent prime factors to calculate the LCM of 11063 and 11068.

LCM(11063,11068) = 22×131×231×371×27671
LCM(11063,11068) = 122445284

Factors of 11063

List of positive integer factors of 11063 that divides 11063 without a remainder.

1, 13, 23, 37, 299, 481, 851, 11063

Factors of 11068

List of positive integer factors of 11068 that divides 11068 without a remainder.

1, 2, 4, 2767, 5534, 11068

Least Common Multiple of 11063 and 11068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11063 and 11068, than apply into the LCM equation.

GCF(11063,11068) = 1
LCM(11063,11068) = ( 11063 × 11068) / 1
LCM(11063,11068) = 122445284 / 1
LCM(11063,11068) = 122445284

Properties of LCM 11063 and 11068

(i) The LCM of 11068 and 11063 is associative

LCM of 11063 and 11068 = LCM of 11068 and 11063

Related Least Common Multiples of 11063

Related Least Common Multiples of 11068

Frequently Asked Questions on LCM of 11063 and 11068

1. What is the LCM of 11063 and 11068?

Answer: LCM of 11063 and 11068 is 122445284.

2. What are the Factors of 11063?

Answer: Factors of 11063 are 1, 13, 23, 37, 299, 481, 851, 11063. There are 8 integers that are factors of 11063. The greatest factor of 11063 is 11063.

3. What are the Factors of 11068?

Answer: Factors of 11068 are 1, 2, 4, 2767, 5534, 11068. There are 6 integers that are factors of 11068. The greatest factor of 11068 is 11068.

4. How to Find the LCM of 11063 and 11068?

Answer:

Least Common Multiple of 11063 and 11068 = 122445284

Step 1: Find the prime factorization of 11063

11063 = 13 x 23 x 37

Step 2: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

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

LCM = 122445284 = 2 x 2 x 13 x 23 x 37 x 2767

Step 4: Therefore, the least common multiple of 11063 and 11068 is 122445284.