Least Common Multiple of 11068 and 11075

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 11075 the smallest integer that is 122578100 that is divisible by both numbers.

Least Common Multiple (LCM) of 11068 and 11075 is 122578100.

LCM(11068,11075) = 122578100

LCM of 11068 and 11075

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

LCM of:
and

Least Common Multiple of 11068 and 11075

LCM of 11068 and 11075 is 122578100

Least common multiple can be found by multiplying the highest exponent prime factors of 11068 and 11075. First we will calculate the prime factors of 11068 and 11075.

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 11075


5 11075
5 2215
443 443
1

Prime factors of 11075 are 5,443. Prime factorization of 11075 in exponential form is:

11075 = 52×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 11068 and 11075.

LCM(11068,11075) = 22×52×4431×27671
LCM(11068,11075) = 122578100

Factors of 11068

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

1, 2, 4, 2767, 5534, 11068

Factors of 11075

List of positive integer factors of 11075 that divides 11075 without a remainder.

1, 5, 25, 443, 2215, 11075

Least Common Multiple of 11068 and 11075 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 11075, than apply into the LCM equation.

GCF(11068,11075) = 1
LCM(11068,11075) = ( 11068 × 11075) / 1
LCM(11068,11075) = 122578100 / 1
LCM(11068,11075) = 122578100

Properties of LCM 11068 and 11075

(i) The LCM of 11075 and 11068 is associative

LCM of 11068 and 11075 = LCM of 11075 and 11068

Related Least Common Multiples of 11068

Related Least Common Multiples of 11075

Frequently Asked Questions on LCM of 11068 and 11075

1. What is the LCM of 11068 and 11075?

Answer: LCM of 11068 and 11075 is 122578100.

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 11075?

Answer: Factors of 11075 are 1, 5, 25, 443, 2215, 11075. There are 6 integers that are factors of 11075. The greatest factor of 11075 is 11075.

4. How to Find the LCM of 11068 and 11075?

Answer:

Least Common Multiple of 11068 and 11075 = 122578100

Step 1: Find the prime factorization of 11068

11068 = 2 x 2 x 2767

Step 2: Find the prime factorization of 11075

11075 = 5 x 5 x 443

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

LCM = 122578100 = 2 x 2 x 5 x 5 x 443 x 2767

Step 4: Therefore, the least common multiple of 11068 and 11075 is 122578100.