Least Common Multiple of 2232 and 2233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2232 and 2233 the smallest integer that is 4984056 that is divisible by both numbers.

Least Common Multiple (LCM) of 2232 and 2233 is 4984056.

LCM(2232,2233) = 4984056

LCM of 2232 and 2233

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

LCM of:
and

Least Common Multiple of 2232 and 2233

LCM of 2232 and 2233 is 4984056

Least common multiple can be found by multiplying the highest exponent prime factors of 2232 and 2233. First we will calculate the prime factors of 2232 and 2233.

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

Prime Factorization of 2233


7 2233
11 319
29 29
1

Prime factors of 2233 are 7, 11,29. Prime factorization of 2233 in exponential form is:

2233 = 71×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2232 and 2233.

LCM(2232,2233) = 23×32×71×111×291×311
LCM(2232,2233) = 4984056

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

Factors of 2233

List of positive integer factors of 2233 that divides 2233 without a remainder.

1, 7, 11, 29, 77, 203, 319, 2233

Least Common Multiple of 2232 and 2233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2232 and 2233, than apply into the LCM equation.

GCF(2232,2233) = 1
LCM(2232,2233) = ( 2232 × 2233) / 1
LCM(2232,2233) = 4984056 / 1
LCM(2232,2233) = 4984056

Properties of LCM 2232 and 2233

(i) The LCM of 2233 and 2232 is associative

LCM of 2232 and 2233 = LCM of 2233 and 2232

Related Least Common Multiples of 2232

Related Least Common Multiples of 2233

Frequently Asked Questions on LCM of 2232 and 2233

1. What is the LCM of 2232 and 2233?

Answer: LCM of 2232 and 2233 is 4984056.

2. 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.

3. What are the Factors of 2233?

Answer: Factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233. There are 8 integers that are factors of 2233. The greatest factor of 2233 is 2233.

4. How to Find the LCM of 2232 and 2233?

Answer:

Least Common Multiple of 2232 and 2233 = 4984056

Step 1: Find the prime factorization of 2232

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

Step 2: Find the prime factorization of 2233

2233 = 7 x 11 x 29

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

LCM = 4984056 = 2 x 2 x 2 x 3 x 3 x 7 x 11 x 29 x 31

Step 4: Therefore, the least common multiple of 2232 and 2233 is 4984056.