Least Common Multiple of 11054 and 11061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11054 and 11061 the smallest integer that is 122268294 that is divisible by both numbers.

Least Common Multiple (LCM) of 11054 and 11061 is 122268294.

LCM(11054,11061) = 122268294

LCM of 11054 and 11061

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

LCM of:
and

Least Common Multiple of 11054 and 11061

LCM of 11054 and 11061 is 122268294

Least common multiple can be found by multiplying the highest exponent prime factors of 11054 and 11061. First we will calculate the prime factors of 11054 and 11061.

Prime Factorization of 11054


2 11054
5527 5527
1

Prime factors of 11054 are 2,5527. Prime factorization of 11054 in exponential form is:

11054 = 21×55271

Prime Factorization of 11061


3 11061
3 3687
1229 1229
1

Prime factors of 11061 are 3,1229. Prime factorization of 11061 in exponential form is:

11061 = 32×12291

Now multiplying the highest exponent prime factors to calculate the LCM of 11054 and 11061.

LCM(11054,11061) = 21×32×12291×55271
LCM(11054,11061) = 122268294

Factors of 11054

List of positive integer factors of 11054 that divides 11054 without a remainder.

1, 2, 5527, 11054

Factors of 11061

List of positive integer factors of 11061 that divides 11061 without a remainder.

1, 3, 9, 1229, 3687, 11061

Least Common Multiple of 11054 and 11061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11054 and 11061, than apply into the LCM equation.

GCF(11054,11061) = 1
LCM(11054,11061) = ( 11054 × 11061) / 1
LCM(11054,11061) = 122268294 / 1
LCM(11054,11061) = 122268294

Properties of LCM 11054 and 11061

(i) The LCM of 11061 and 11054 is associative

LCM of 11054 and 11061 = LCM of 11061 and 11054

Related Least Common Multiples of 11054

Related Least Common Multiples of 11061

Frequently Asked Questions on LCM of 11054 and 11061

1. What is the LCM of 11054 and 11061?

Answer: LCM of 11054 and 11061 is 122268294.

2. What are the Factors of 11054?

Answer: Factors of 11054 are 1, 2, 5527, 11054. There are 4 integers that are factors of 11054. The greatest factor of 11054 is 11054.

3. What are the Factors of 11061?

Answer: Factors of 11061 are 1, 3, 9, 1229, 3687, 11061. There are 6 integers that are factors of 11061. The greatest factor of 11061 is 11061.

4. How to Find the LCM of 11054 and 11061?

Answer:

Least Common Multiple of 11054 and 11061 = 122268294

Step 1: Find the prime factorization of 11054

11054 = 2 x 5527

Step 2: Find the prime factorization of 11061

11061 = 3 x 3 x 1229

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

LCM = 122268294 = 2 x 3 x 3 x 1229 x 5527

Step 4: Therefore, the least common multiple of 11054 and 11061 is 122268294.