Least Common Multiple of 11044 and 11048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11044 and 11048 the smallest integer that is 30503528 that is divisible by both numbers.

Least Common Multiple (LCM) of 11044 and 11048 is 30503528.

LCM(11044,11048) = 30503528

LCM of 11044 and 11048

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

LCM of:
and

Least Common Multiple of 11044 and 11048

LCM of 11044 and 11048 is 30503528

Least common multiple can be found by multiplying the highest exponent prime factors of 11044 and 11048. First we will calculate the prime factors of 11044 and 11048.

Prime Factorization of 11044


2 11044
2 5522
11 2761
251 251
1

Prime factors of 11044 are 2, 11,251. Prime factorization of 11044 in exponential form is:

11044 = 22×111×2511

Prime Factorization of 11048


2 11048
2 5524
2 2762
1381 1381
1

Prime factors of 11048 are 2,1381. Prime factorization of 11048 in exponential form is:

11048 = 23×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 11044 and 11048.

LCM(11044,11048) = 23×111×2511×13811
LCM(11044,11048) = 30503528

Factors of 11044

List of positive integer factors of 11044 that divides 11044 without a remainder.

1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522, 11044

Factors of 11048

List of positive integer factors of 11048 that divides 11048 without a remainder.

1, 2, 4, 8, 1381, 2762, 5524, 11048

Least Common Multiple of 11044 and 11048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11044 and 11048, than apply into the LCM equation.

GCF(11044,11048) = 4
LCM(11044,11048) = ( 11044 × 11048) / 4
LCM(11044,11048) = 122014112 / 4
LCM(11044,11048) = 30503528

Properties of LCM 11044 and 11048

(i) The LCM of 11048 and 11044 is associative

LCM of 11044 and 11048 = LCM of 11048 and 11044

Related Least Common Multiples of 11044

Related Least Common Multiples of 11048

Frequently Asked Questions on LCM of 11044 and 11048

1. What is the LCM of 11044 and 11048?

Answer: LCM of 11044 and 11048 is 30503528.

2. What are the Factors of 11044?

Answer: Factors of 11044 are 1, 2, 4, 11, 22, 44, 251, 502, 1004, 2761, 5522, 11044. There are 12 integers that are factors of 11044. The greatest factor of 11044 is 11044.

3. What are the Factors of 11048?

Answer: Factors of 11048 are 1, 2, 4, 8, 1381, 2762, 5524, 11048. There are 8 integers that are factors of 11048. The greatest factor of 11048 is 11048.

4. How to Find the LCM of 11044 and 11048?

Answer:

Least Common Multiple of 11044 and 11048 = 30503528

Step 1: Find the prime factorization of 11044

11044 = 2 x 2 x 11 x 251

Step 2: Find the prime factorization of 11048

11048 = 2 x 2 x 2 x 1381

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

LCM = 30503528 = 2 x 2 x 2 x 11 x 251 x 1381

Step 4: Therefore, the least common multiple of 11044 and 11048 is 30503528.