Least Common Multiple of 8234 and 8239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8234 and 8239 the smallest integer that is 67839926 that is divisible by both numbers.

Least Common Multiple (LCM) of 8234 and 8239 is 67839926.

LCM(8234,8239) = 67839926

LCM of 8234 and 8239

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

LCM of:
and

Least Common Multiple of 8234 and 8239

LCM of 8234 and 8239 is 67839926

Least common multiple can be found by multiplying the highest exponent prime factors of 8234 and 8239. First we will calculate the prime factors of 8234 and 8239.

Prime Factorization of 8234


2 8234
23 4117
179 179
1

Prime factors of 8234 are 2, 23,179. Prime factorization of 8234 in exponential form is:

8234 = 21×231×1791

Prime Factorization of 8239


7 8239
11 1177
107 107
1

Prime factors of 8239 are 7, 11,107. Prime factorization of 8239 in exponential form is:

8239 = 71×111×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8234 and 8239.

LCM(8234,8239) = 21×71×111×231×1071×1791
LCM(8234,8239) = 67839926

Factors of 8234

List of positive integer factors of 8234 that divides 8234 without a remainder.

1, 2, 23, 46, 179, 358, 4117, 8234

Factors of 8239

List of positive integer factors of 8239 that divides 8239 without a remainder.

1, 7, 11, 77, 107, 749, 1177, 8239

Least Common Multiple of 8234 and 8239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8234 and 8239, than apply into the LCM equation.

GCF(8234,8239) = 1
LCM(8234,8239) = ( 8234 × 8239) / 1
LCM(8234,8239) = 67839926 / 1
LCM(8234,8239) = 67839926

Properties of LCM 8234 and 8239

(i) The LCM of 8239 and 8234 is associative

LCM of 8234 and 8239 = LCM of 8239 and 8234

Related Least Common Multiples of 8234

Related Least Common Multiples of 8239

Frequently Asked Questions on LCM of 8234 and 8239

1. What is the LCM of 8234 and 8239?

Answer: LCM of 8234 and 8239 is 67839926.

2. What are the Factors of 8234?

Answer: Factors of 8234 are 1, 2, 23, 46, 179, 358, 4117, 8234. There are 8 integers that are factors of 8234. The greatest factor of 8234 is 8234.

3. What are the Factors of 8239?

Answer: Factors of 8239 are 1, 7, 11, 77, 107, 749, 1177, 8239. There are 8 integers that are factors of 8239. The greatest factor of 8239 is 8239.

4. How to Find the LCM of 8234 and 8239?

Answer:

Least Common Multiple of 8234 and 8239 = 67839926

Step 1: Find the prime factorization of 8234

8234 = 2 x 23 x 179

Step 2: Find the prime factorization of 8239

8239 = 7 x 11 x 107

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

LCM = 67839926 = 2 x 7 x 11 x 23 x 107 x 179

Step 4: Therefore, the least common multiple of 8234 and 8239 is 67839926.