Least Common Multiple of 11068 and 11072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11068 and 11072 the smallest integer that is 30636224 that is divisible by both numbers.

Least Common Multiple (LCM) of 11068 and 11072 is 30636224.

LCM(11068,11072) = 30636224

LCM of 11068 and 11072

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

LCM of:
and

Least Common Multiple of 11068 and 11072

LCM of 11068 and 11072 is 30636224

Least common multiple can be found by multiplying the highest exponent prime factors of 11068 and 11072. First we will calculate the prime factors of 11068 and 11072.

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

Prime Factorization of 11072


2 11072
2 5536
2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 11072 are 2,173. Prime factorization of 11072 in exponential form is:

11072 = 26×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 11068 and 11072.

LCM(11068,11072) = 26×1731×27671
LCM(11068,11072) = 30636224

Factors of 11068

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

1, 2, 4, 2767, 5534, 11068

Factors of 11072

List of positive integer factors of 11072 that divides 11072 without a remainder.

1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072

Least Common Multiple of 11068 and 11072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11068 and 11072, than apply into the LCM equation.

GCF(11068,11072) = 4
LCM(11068,11072) = ( 11068 × 11072) / 4
LCM(11068,11072) = 122544896 / 4
LCM(11068,11072) = 30636224

Properties of LCM 11068 and 11072

(i) The LCM of 11072 and 11068 is associative

LCM of 11068 and 11072 = LCM of 11072 and 11068

Related Least Common Multiples of 11068

Related Least Common Multiples of 11072

Frequently Asked Questions on LCM of 11068 and 11072

1. What is the LCM of 11068 and 11072?

Answer: LCM of 11068 and 11072 is 30636224.

2. 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.

3. What are the Factors of 11072?

Answer: Factors of 11072 are 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072. There are 14 integers that are factors of 11072. The greatest factor of 11072 is 11072.

4. How to Find the LCM of 11068 and 11072?

Answer:

Least Common Multiple of 11068 and 11072 = 30636224

Step 1: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

Step 2: Find the prime factorization of 11072

11072 = 2 x 2 x 2 x 2 x 2 x 2 x 173

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

LCM = 30636224 = 2 x 2 x 2 x 2 x 2 x 2 x 173 x 2767

Step 4: Therefore, the least common multiple of 11068 and 11072 is 30636224.