Least Common Multiple of 11062 and 11066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11062 and 11066 the smallest integer that is 61206046 that is divisible by both numbers.

Least Common Multiple (LCM) of 11062 and 11066 is 61206046.

LCM(11062,11066) = 61206046

LCM of 11062 and 11066

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

LCM of:
and

Least Common Multiple of 11062 and 11066

LCM of 11062 and 11066 is 61206046

Least common multiple can be found by multiplying the highest exponent prime factors of 11062 and 11066. First we will calculate the prime factors of 11062 and 11066.

Prime Factorization of 11062


2 11062
5531 5531
1

Prime factors of 11062 are 2,5531. Prime factorization of 11062 in exponential form is:

11062 = 21×55311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 11062 and 11066.

LCM(11062,11066) = 21×111×5031×55311
LCM(11062,11066) = 61206046

Factors of 11062

List of positive integer factors of 11062 that divides 11062 without a remainder.

1, 2, 5531, 11062

Factors of 11066

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

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

Least Common Multiple of 11062 and 11066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11062 and 11066, than apply into the LCM equation.

GCF(11062,11066) = 2
LCM(11062,11066) = ( 11062 × 11066) / 2
LCM(11062,11066) = 122412092 / 2
LCM(11062,11066) = 61206046

Properties of LCM 11062 and 11066

(i) The LCM of 11066 and 11062 is associative

LCM of 11062 and 11066 = LCM of 11066 and 11062

Related Least Common Multiples of 11062

Related Least Common Multiples of 11066

Frequently Asked Questions on LCM of 11062 and 11066

1. What is the LCM of 11062 and 11066?

Answer: LCM of 11062 and 11066 is 61206046.

2. What are the Factors of 11062?

Answer: Factors of 11062 are 1, 2, 5531, 11062. There are 4 integers that are factors of 11062. The greatest factor of 11062 is 11062.

3. 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.

4. How to Find the LCM of 11062 and 11066?

Answer:

Least Common Multiple of 11062 and 11066 = 61206046

Step 1: Find the prime factorization of 11062

11062 = 2 x 5531

Step 2: Find the prime factorization of 11066

11066 = 2 x 11 x 503

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

LCM = 61206046 = 2 x 11 x 503 x 5531

Step 4: Therefore, the least common multiple of 11062 and 11066 is 61206046.