Least Common Multiple of 11066 and 11074

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 11074 the smallest integer that is 61272442 that is divisible by both numbers.

Least Common Multiple (LCM) of 11066 and 11074 is 61272442.

LCM(11066,11074) = 61272442

LCM of 11066 and 11074

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

LCM of:
and

Least Common Multiple of 11066 and 11074

LCM of 11066 and 11074 is 61272442

Least common multiple can be found by multiplying the highest exponent prime factors of 11066 and 11074. First we will calculate the prime factors of 11066 and 11074.

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 11074


2 11074
7 5537
7 791
113 113
1

Prime factors of 11074 are 2, 7,113. Prime factorization of 11074 in exponential form is:

11074 = 21×72×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 11066 and 11074.

LCM(11066,11074) = 21×72×111×1131×5031
LCM(11066,11074) = 61272442

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 11074

List of positive integer factors of 11074 that divides 11074 without a remainder.

1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074

Least Common Multiple of 11066 and 11074 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 11074, than apply into the LCM equation.

GCF(11066,11074) = 2
LCM(11066,11074) = ( 11066 × 11074) / 2
LCM(11066,11074) = 122544884 / 2
LCM(11066,11074) = 61272442

Properties of LCM 11066 and 11074

(i) The LCM of 11074 and 11066 is associative

LCM of 11066 and 11074 = LCM of 11074 and 11066

Related Least Common Multiples of 11066

Related Least Common Multiples of 11074

Frequently Asked Questions on LCM of 11066 and 11074

1. What is the LCM of 11066 and 11074?

Answer: LCM of 11066 and 11074 is 61272442.

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 11074?

Answer: Factors of 11074 are 1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074. There are 12 integers that are factors of 11074. The greatest factor of 11074 is 11074.

4. How to Find the LCM of 11066 and 11074?

Answer:

Least Common Multiple of 11066 and 11074 = 61272442

Step 1: Find the prime factorization of 11066

11066 = 2 x 11 x 503

Step 2: Find the prime factorization of 11074

11074 = 2 x 7 x 7 x 113

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

LCM = 61272442 = 2 x 7 x 7 x 11 x 113 x 503

Step 4: Therefore, the least common multiple of 11066 and 11074 is 61272442.