Least Common Multiple of 8239 and 8244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8239 and 8244 the smallest integer that is 67922316 that is divisible by both numbers.

Least Common Multiple (LCM) of 8239 and 8244 is 67922316.

LCM(8239,8244) = 67922316

LCM of 8239 and 8244

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

LCM of:
and

Least Common Multiple of 8239 and 8244

LCM of 8239 and 8244 is 67922316

Least common multiple can be found by multiplying the highest exponent prime factors of 8239 and 8244. First we will calculate the prime factors of 8239 and 8244.

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

Prime Factorization of 8244


2 8244
2 4122
3 2061
3 687
229 229
1

Prime factors of 8244 are 2, 3,229. Prime factorization of 8244 in exponential form is:

8244 = 22×32×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8239 and 8244.

LCM(8239,8244) = 22×32×71×111×1071×2291
LCM(8239,8244) = 67922316

Factors of 8239

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

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

Factors of 8244

List of positive integer factors of 8244 that divides 8244 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244

Least Common Multiple of 8239 and 8244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8239 and 8244, than apply into the LCM equation.

GCF(8239,8244) = 1
LCM(8239,8244) = ( 8239 × 8244) / 1
LCM(8239,8244) = 67922316 / 1
LCM(8239,8244) = 67922316

Properties of LCM 8239 and 8244

(i) The LCM of 8244 and 8239 is associative

LCM of 8239 and 8244 = LCM of 8244 and 8239

Related Least Common Multiples of 8239

Related Least Common Multiples of 8244

Frequently Asked Questions on LCM of 8239 and 8244

1. What is the LCM of 8239 and 8244?

Answer: LCM of 8239 and 8244 is 67922316.

2. 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.

3. What are the Factors of 8244?

Answer: Factors of 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244. There are 18 integers that are factors of 8244. The greatest factor of 8244 is 8244.

4. How to Find the LCM of 8239 and 8244?

Answer:

Least Common Multiple of 8239 and 8244 = 67922316

Step 1: Find the prime factorization of 8239

8239 = 7 x 11 x 107

Step 2: Find the prime factorization of 8244

8244 = 2 x 2 x 3 x 3 x 229

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

LCM = 67922316 = 2 x 2 x 3 x 3 x 7 x 11 x 107 x 229

Step 4: Therefore, the least common multiple of 8239 and 8244 is 67922316.