Least Common Multiple of 2226 and 2232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2226 and 2232 the smallest integer that is 828072 that is divisible by both numbers.

Least Common Multiple (LCM) of 2226 and 2232 is 828072.

LCM(2226,2232) = 828072

LCM of 2226 and 2232

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

LCM of:
and

Least Common Multiple of 2226 and 2232

LCM of 2226 and 2232 is 828072

Least common multiple can be found by multiplying the highest exponent prime factors of 2226 and 2232. First we will calculate the prime factors of 2226 and 2232.

Prime Factorization of 2226


2 2226
3 1113
7 371
53 53
1

Prime factors of 2226 are 2, 3, 7,53. Prime factorization of 2226 in exponential form is:

2226 = 21×31×71×531

Prime Factorization of 2232


2 2232
2 1116
2 558
3 279
3 93
31 31
1

Prime factors of 2232 are 2, 3,31. Prime factorization of 2232 in exponential form is:

2232 = 23×32×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2226 and 2232.

LCM(2226,2232) = 23×32×71×311×531
LCM(2226,2232) = 828072

Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226

Factors of 2232

List of positive integer factors of 2232 that divides 2232 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232

Least Common Multiple of 2226 and 2232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2226 and 2232, than apply into the LCM equation.

GCF(2226,2232) = 6
LCM(2226,2232) = ( 2226 × 2232) / 6
LCM(2226,2232) = 4968432 / 6
LCM(2226,2232) = 828072

Properties of LCM 2226 and 2232

(i) The LCM of 2232 and 2226 is associative

LCM of 2226 and 2232 = LCM of 2232 and 2226

Related Least Common Multiples of 2226

Related Least Common Multiples of 2232

Frequently Asked Questions on LCM of 2226 and 2232

1. What is the LCM of 2226 and 2232?

Answer: LCM of 2226 and 2232 is 828072.

2. What are the Factors of 2226?

Answer: Factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226. There are 16 integers that are factors of 2226. The greatest factor of 2226 is 2226.

3. What are the Factors of 2232?

Answer: Factors of 2232 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 1116, 2232. There are 24 integers that are factors of 2232. The greatest factor of 2232 is 2232.

4. How to Find the LCM of 2226 and 2232?

Answer:

Least Common Multiple of 2226 and 2232 = 828072

Step 1: Find the prime factorization of 2226

2226 = 2 x 3 x 7 x 53

Step 2: Find the prime factorization of 2232

2232 = 2 x 2 x 2 x 3 x 3 x 31

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

LCM = 828072 = 2 x 2 x 2 x 3 x 3 x 7 x 31 x 53

Step 4: Therefore, the least common multiple of 2226 and 2232 is 828072.