Least Common Multiple of 11054 and 11062

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 11062 the smallest integer that is 61139674 that is divisible by both numbers.

Least Common Multiple (LCM) of 11054 and 11062 is 61139674.

LCM(11054,11062) = 61139674

LCM of 11054 and 11062

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

LCM of:
and

Least Common Multiple of 11054 and 11062

LCM of 11054 and 11062 is 61139674

Least common multiple can be found by multiplying the highest exponent prime factors of 11054 and 11062. First we will calculate the prime factors of 11054 and 11062.

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 11062


2 11062
5531 5531
1

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

11062 = 21×55311

Now multiplying the highest exponent prime factors to calculate the LCM of 11054 and 11062.

LCM(11054,11062) = 21×55271×55311
LCM(11054,11062) = 61139674

Factors of 11054

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

1, 2, 5527, 11054

Factors of 11062

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

1, 2, 5531, 11062

Least Common Multiple of 11054 and 11062 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 11062, than apply into the LCM equation.

GCF(11054,11062) = 2
LCM(11054,11062) = ( 11054 × 11062) / 2
LCM(11054,11062) = 122279348 / 2
LCM(11054,11062) = 61139674

Properties of LCM 11054 and 11062

(i) The LCM of 11062 and 11054 is associative

LCM of 11054 and 11062 = LCM of 11062 and 11054

Related Least Common Multiples of 11054

Related Least Common Multiples of 11062

Frequently Asked Questions on LCM of 11054 and 11062

1. What is the LCM of 11054 and 11062?

Answer: LCM of 11054 and 11062 is 61139674.

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 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.

4. How to Find the LCM of 11054 and 11062?

Answer:

Least Common Multiple of 11054 and 11062 = 61139674

Step 1: Find the prime factorization of 11054

11054 = 2 x 5527

Step 2: Find the prime factorization of 11062

11062 = 2 x 5531

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

LCM = 61139674 = 2 x 5527 x 5531

Step 4: Therefore, the least common multiple of 11054 and 11062 is 61139674.