Least Common Multiple of 11066 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 11066 and 11073 the smallest integer that is 122533818 that is divisible by both numbers.

Least Common Multiple (LCM) of 11066 and 11073 is 122533818.

LCM(11066,11073) = 122533818

LCM of 11066 and 11073

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

LCM of:
and

Least Common Multiple of 11066 and 11073

LCM of 11066 and 11073 is 122533818

Least common multiple can be found by multiplying the highest exponent prime factors of 11066 and 11073. First we will calculate the prime factors of 11066 and 11073.

Prime Factorization of 11066


2 11066
11 5533
503 503
1

Prime factors of 11066 are 2, 11,503. Prime factorization of 11066 in exponential form is:

11066 = 21×111×5031

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 11066 and 11073.

LCM(11066,11073) = 21×31×111×5031×36911
LCM(11066,11073) = 122533818

Factors of 11066

List of positive integer factors of 11066 that divides 11066 without a remainder.

1, 2, 11, 22, 503, 1006, 5533, 11066

Factors of 11073

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

1, 3, 3691, 11073

Least Common Multiple of 11066 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 11066 and 11073, than apply into the LCM equation.

GCF(11066,11073) = 1
LCM(11066,11073) = ( 11066 × 11073) / 1
LCM(11066,11073) = 122533818 / 1
LCM(11066,11073) = 122533818

Properties of LCM 11066 and 11073

(i) The LCM of 11073 and 11066 is associative

LCM of 11066 and 11073 = LCM of 11073 and 11066

Related Least Common Multiples of 11066

Related Least Common Multiples of 11073

Frequently Asked Questions on LCM of 11066 and 11073

1. What is the LCM of 11066 and 11073?

Answer: LCM of 11066 and 11073 is 122533818.

2. What are the Factors of 11066?

Answer: Factors of 11066 are 1, 2, 11, 22, 503, 1006, 5533, 11066. There are 8 integers that are factors of 11066. The greatest factor of 11066 is 11066.

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 11066 and 11073?

Answer:

Least Common Multiple of 11066 and 11073 = 122533818

Step 1: Find the prime factorization of 11066

11066 = 2 x 11 x 503

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 = 122533818 = 2 x 3 x 11 x 503 x 3691

Step 4: Therefore, the least common multiple of 11066 and 11073 is 122533818.