Least Common Multiple of 11065 and 11068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11065 and 11068 the smallest integer that is 122467420 that is divisible by both numbers.

Least Common Multiple (LCM) of 11065 and 11068 is 122467420.

LCM(11065,11068) = 122467420

LCM of 11065 and 11068

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

LCM of:
and

Least Common Multiple of 11065 and 11068

LCM of 11065 and 11068 is 122467420

Least common multiple can be found by multiplying the highest exponent prime factors of 11065 and 11068. First we will calculate the prime factors of 11065 and 11068.

Prime Factorization of 11065


5 11065
2213 2213
1

Prime factors of 11065 are 5,2213. Prime factorization of 11065 in exponential form is:

11065 = 51×22131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 11065 and 11068.

LCM(11065,11068) = 22×51×22131×27671
LCM(11065,11068) = 122467420

Factors of 11065

List of positive integer factors of 11065 that divides 11065 without a remainder.

1, 5, 2213, 11065

Factors of 11068

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

1, 2, 4, 2767, 5534, 11068

Least Common Multiple of 11065 and 11068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11065 and 11068, than apply into the LCM equation.

GCF(11065,11068) = 1
LCM(11065,11068) = ( 11065 × 11068) / 1
LCM(11065,11068) = 122467420 / 1
LCM(11065,11068) = 122467420

Properties of LCM 11065 and 11068

(i) The LCM of 11068 and 11065 is associative

LCM of 11065 and 11068 = LCM of 11068 and 11065

Related Least Common Multiples of 11065

Related Least Common Multiples of 11068

Frequently Asked Questions on LCM of 11065 and 11068

1. What is the LCM of 11065 and 11068?

Answer: LCM of 11065 and 11068 is 122467420.

2. What are the Factors of 11065?

Answer: Factors of 11065 are 1, 5, 2213, 11065. There are 4 integers that are factors of 11065. The greatest factor of 11065 is 11065.

3. 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.

4. How to Find the LCM of 11065 and 11068?

Answer:

Least Common Multiple of 11065 and 11068 = 122467420

Step 1: Find the prime factorization of 11065

11065 = 5 x 2213

Step 2: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

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

LCM = 122467420 = 2 x 2 x 5 x 2213 x 2767

Step 4: Therefore, the least common multiple of 11065 and 11068 is 122467420.