Least Common Multiple of 6239 and 6244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6239 and 6244 the smallest integer that is 38956316 that is divisible by both numbers.

Least Common Multiple (LCM) of 6239 and 6244 is 38956316.

LCM(6239,6244) = 38956316

LCM of 6239 and 6244

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

LCM of:
and

Least Common Multiple of 6239 and 6244

LCM of 6239 and 6244 is 38956316

Least common multiple can be found by multiplying the highest exponent prime factors of 6239 and 6244. First we will calculate the prime factors of 6239 and 6244.

Prime Factorization of 6239


17 6239
367 367
1

Prime factors of 6239 are 17,367. Prime factorization of 6239 in exponential form is:

6239 = 171×3671

Prime Factorization of 6244


2 6244
2 3122
7 1561
223 223
1

Prime factors of 6244 are 2, 7,223. Prime factorization of 6244 in exponential form is:

6244 = 22×71×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 6239 and 6244.

LCM(6239,6244) = 22×71×171×2231×3671
LCM(6239,6244) = 38956316

Factors of 6239

List of positive integer factors of 6239 that divides 6239 without a remainder.

1, 17, 367, 6239

Factors of 6244

List of positive integer factors of 6244 that divides 6244 without a remainder.

1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244

Least Common Multiple of 6239 and 6244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6239 and 6244, than apply into the LCM equation.

GCF(6239,6244) = 1
LCM(6239,6244) = ( 6239 × 6244) / 1
LCM(6239,6244) = 38956316 / 1
LCM(6239,6244) = 38956316

Properties of LCM 6239 and 6244

(i) The LCM of 6244 and 6239 is associative

LCM of 6239 and 6244 = LCM of 6244 and 6239

Related Least Common Multiples of 6239

Related Least Common Multiples of 6244

Frequently Asked Questions on LCM of 6239 and 6244

1. What is the LCM of 6239 and 6244?

Answer: LCM of 6239 and 6244 is 38956316.

2. What are the Factors of 6239?

Answer: Factors of 6239 are 1, 17, 367, 6239. There are 4 integers that are factors of 6239. The greatest factor of 6239 is 6239.

3. What are the Factors of 6244?

Answer: Factors of 6244 are 1, 2, 4, 7, 14, 28, 223, 446, 892, 1561, 3122, 6244. There are 12 integers that are factors of 6244. The greatest factor of 6244 is 6244.

4. How to Find the LCM of 6239 and 6244?

Answer:

Least Common Multiple of 6239 and 6244 = 38956316

Step 1: Find the prime factorization of 6239

6239 = 17 x 367

Step 2: Find the prime factorization of 6244

6244 = 2 x 2 x 7 x 223

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

LCM = 38956316 = 2 x 2 x 7 x 17 x 223 x 367

Step 4: Therefore, the least common multiple of 6239 and 6244 is 38956316.