Least Common Multiple of 11068 and 11073

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 11073 the smallest integer that is 122555964 that is divisible by both numbers.

Least Common Multiple (LCM) of 11068 and 11073 is 122555964.

LCM(11068,11073) = 122555964

LCM of 11068 and 11073

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

LCM of:
and

Least Common Multiple of 11068 and 11073

LCM of 11068 and 11073 is 122555964

Least common multiple can be found by multiplying the highest exponent prime factors of 11068 and 11073. First we will calculate the prime factors of 11068 and 11073.

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 11073


3 11073
3691 3691
1

Prime factors of 11073 are 3,3691. Prime factorization of 11073 in exponential form is:

11073 = 31×36911

Now multiplying the highest exponent prime factors to calculate the LCM of 11068 and 11073.

LCM(11068,11073) = 22×31×27671×36911
LCM(11068,11073) = 122555964

Factors of 11068

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

1, 2, 4, 2767, 5534, 11068

Factors of 11073

List of positive integer factors of 11073 that divides 11073 without a remainder.

1, 3, 3691, 11073

Least Common Multiple of 11068 and 11073 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 11073, than apply into the LCM equation.

GCF(11068,11073) = 1
LCM(11068,11073) = ( 11068 × 11073) / 1
LCM(11068,11073) = 122555964 / 1
LCM(11068,11073) = 122555964

Properties of LCM 11068 and 11073

(i) The LCM of 11073 and 11068 is associative

LCM of 11068 and 11073 = LCM of 11073 and 11068

Related Least Common Multiples of 11068

Related Least Common Multiples of 11073

Frequently Asked Questions on LCM of 11068 and 11073

1. What is the LCM of 11068 and 11073?

Answer: LCM of 11068 and 11073 is 122555964.

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 11073?

Answer: Factors of 11073 are 1, 3, 3691, 11073. There are 4 integers that are factors of 11073. The greatest factor of 11073 is 11073.

4. How to Find the LCM of 11068 and 11073?

Answer:

Least Common Multiple of 11068 and 11073 = 122555964

Step 1: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

Step 2: Find the prime factorization of 11073

11073 = 3 x 3691

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

LCM = 122555964 = 2 x 2 x 3 x 2767 x 3691

Step 4: Therefore, the least common multiple of 11068 and 11073 is 122555964.