Least Common Multiple of 2232 and 2238

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 2238 the smallest integer that is 832536 that is divisible by both numbers.

Least Common Multiple (LCM) of 2232 and 2238 is 832536.

LCM(2232,2238) = 832536

LCM of 2232 and 2238

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

LCM of:
and

Least Common Multiple of 2232 and 2238

LCM of 2232 and 2238 is 832536

Least common multiple can be found by multiplying the highest exponent prime factors of 2232 and 2238. First we will calculate the prime factors of 2232 and 2238.

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 2238


2 2238
3 1119
373 373
1

Prime factors of 2238 are 2, 3,373. Prime factorization of 2238 in exponential form is:

2238 = 21×31×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 2232 and 2238.

LCM(2232,2238) = 23×32×311×3731
LCM(2232,2238) = 832536

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 2238

List of positive integer factors of 2238 that divides 2238 without a remainder.

1, 2, 3, 6, 373, 746, 1119, 2238

Least Common Multiple of 2232 and 2238 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 2238, than apply into the LCM equation.

GCF(2232,2238) = 6
LCM(2232,2238) = ( 2232 × 2238) / 6
LCM(2232,2238) = 4995216 / 6
LCM(2232,2238) = 832536

Properties of LCM 2232 and 2238

(i) The LCM of 2238 and 2232 is associative

LCM of 2232 and 2238 = LCM of 2238 and 2232

Related Least Common Multiples of 2232

Related Least Common Multiples of 2238

Frequently Asked Questions on LCM of 2232 and 2238

1. What is the LCM of 2232 and 2238?

Answer: LCM of 2232 and 2238 is 832536.

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 2238?

Answer: Factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238. There are 8 integers that are factors of 2238. The greatest factor of 2238 is 2238.

4. How to Find the LCM of 2232 and 2238?

Answer:

Least Common Multiple of 2232 and 2238 = 832536

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 2238

2238 = 2 x 3 x 373

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

LCM = 832536 = 2 x 2 x 2 x 3 x 3 x 31 x 373

Step 4: Therefore, the least common multiple of 2232 and 2238 is 832536.