Least Common Multiple of 34232 and 34234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34232 and 34234 the smallest integer that is 585949144 that is divisible by both numbers.

Least Common Multiple (LCM) of 34232 and 34234 is 585949144.

LCM(34232,34234) = 585949144

LCM of 34232 and 34234

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

LCM of:
and

Least Common Multiple of 34232 and 34234

LCM of 34232 and 34234 is 585949144

Least common multiple can be found by multiplying the highest exponent prime factors of 34232 and 34234. First we will calculate the prime factors of 34232 and 34234.

Prime Factorization of 34232


2 34232
2 17116
2 8558
11 4279
389 389
1

Prime factors of 34232 are 2, 11,389. Prime factorization of 34232 in exponential form is:

34232 = 23×111×3891

Prime Factorization of 34234


2 34234
17117 17117
1

Prime factors of 34234 are 2,17117. Prime factorization of 34234 in exponential form is:

34234 = 21×171171

Now multiplying the highest exponent prime factors to calculate the LCM of 34232 and 34234.

LCM(34232,34234) = 23×111×3891×171171
LCM(34232,34234) = 585949144

Factors of 34232

List of positive integer factors of 34232 that divides 34232 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 389, 778, 1556, 3112, 4279, 8558, 17116, 34232

Factors of 34234

List of positive integer factors of 34234 that divides 34234 without a remainder.

1, 2, 17117, 34234

Least Common Multiple of 34232 and 34234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34232 and 34234, than apply into the LCM equation.

GCF(34232,34234) = 2
LCM(34232,34234) = ( 34232 × 34234) / 2
LCM(34232,34234) = 1171898288 / 2
LCM(34232,34234) = 585949144

Properties of LCM 34232 and 34234

(i) The LCM of 34234 and 34232 is associative

LCM of 34232 and 34234 = LCM of 34234 and 34232

Related Least Common Multiples of 34232

Related Least Common Multiples of 34234

Frequently Asked Questions on LCM of 34232 and 34234

1. What is the LCM of 34232 and 34234?

Answer: LCM of 34232 and 34234 is 585949144.

2. What are the Factors of 34232?

Answer: Factors of 34232 are 1, 2, 4, 8, 11, 22, 44, 88, 389, 778, 1556, 3112, 4279, 8558, 17116, 34232. There are 16 integers that are factors of 34232. The greatest factor of 34232 is 34232.

3. What are the Factors of 34234?

Answer: Factors of 34234 are 1, 2, 17117, 34234. There are 4 integers that are factors of 34234. The greatest factor of 34234 is 34234.

4. How to Find the LCM of 34232 and 34234?

Answer:

Least Common Multiple of 34232 and 34234 = 585949144

Step 1: Find the prime factorization of 34232

34232 = 2 x 2 x 2 x 11 x 389

Step 2: Find the prime factorization of 34234

34234 = 2 x 17117

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

LCM = 585949144 = 2 x 2 x 2 x 11 x 389 x 17117

Step 4: Therefore, the least common multiple of 34232 and 34234 is 585949144.