Least Common Multiple of 232 and 234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 232 and 234 the smallest integer that is 27144 that is divisible by both numbers.

Least Common Multiple (LCM) of 232 and 234 is 27144.

LCM(232,234) = 27144

LCM of 232 and 234

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

LCM of:
and

Least Common Multiple of 232 and 234

LCM of 232 and 234 is 27144

Least common multiple can be found by multiplying the highest exponent prime factors of 232 and 234. First we will calculate the prime factors of 232 and 234.

Prime Factorization of 232


2 232
2 116
2 58
29 29
1

Prime factors of 232 are 2,29. Prime factorization of 232 in exponential form is:

232 = 23×291

Prime Factorization of 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 232 and 234.

LCM(232,234) = 23×32×131×291
LCM(232,234) = 27144

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Least Common Multiple of 232 and 234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 232 and 234, than apply into the LCM equation.

GCF(232,234) = 2
LCM(232,234) = ( 232 × 234) / 2
LCM(232,234) = 54288 / 2
LCM(232,234) = 27144

Properties of LCM 232 and 234

(i) The LCM of 234 and 232 is associative

LCM of 232 and 234 = LCM of 234 and 232

Related Least Common Multiples of 232

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 232 and 234

1. What is the LCM of 232 and 234?

Answer: LCM of 232 and 234 is 27144.

2. What are the Factors of 232?

Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.

3. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

4. How to Find the LCM of 232 and 234?

Answer:

Least Common Multiple of 232 and 234 = 27144

Step 1: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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

LCM = 27144 = 2 x 2 x 2 x 3 x 3 x 13 x 29

Step 4: Therefore, the least common multiple of 232 and 234 is 27144.