Least Common Multiple of 6239 and 6246

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 6246 the smallest integer that is 38968794 that is divisible by both numbers.

Least Common Multiple (LCM) of 6239 and 6246 is 38968794.

LCM(6239,6246) = 38968794

LCM of 6239 and 6246

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

LCM of:
and

Least Common Multiple of 6239 and 6246

LCM of 6239 and 6246 is 38968794

Least common multiple can be found by multiplying the highest exponent prime factors of 6239 and 6246. First we will calculate the prime factors of 6239 and 6246.

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 6246


2 6246
3 3123
3 1041
347 347
1

Prime factors of 6246 are 2, 3,347. Prime factorization of 6246 in exponential form is:

6246 = 21×32×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 6239 and 6246.

LCM(6239,6246) = 21×32×171×3471×3671
LCM(6239,6246) = 38968794

Factors of 6239

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

1, 17, 367, 6239

Factors of 6246

List of positive integer factors of 6246 that divides 6246 without a remainder.

1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246

Least Common Multiple of 6239 and 6246 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 6246, than apply into the LCM equation.

GCF(6239,6246) = 1
LCM(6239,6246) = ( 6239 × 6246) / 1
LCM(6239,6246) = 38968794 / 1
LCM(6239,6246) = 38968794

Properties of LCM 6239 and 6246

(i) The LCM of 6246 and 6239 is associative

LCM of 6239 and 6246 = LCM of 6246 and 6239

Related Least Common Multiples of 6239

Related Least Common Multiples of 6246

Frequently Asked Questions on LCM of 6239 and 6246

1. What is the LCM of 6239 and 6246?

Answer: LCM of 6239 and 6246 is 38968794.

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 6246?

Answer: Factors of 6246 are 1, 2, 3, 6, 9, 18, 347, 694, 1041, 2082, 3123, 6246. There are 12 integers that are factors of 6246. The greatest factor of 6246 is 6246.

4. How to Find the LCM of 6239 and 6246?

Answer:

Least Common Multiple of 6239 and 6246 = 38968794

Step 1: Find the prime factorization of 6239

6239 = 17 x 367

Step 2: Find the prime factorization of 6246

6246 = 2 x 3 x 3 x 347

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

LCM = 38968794 = 2 x 3 x 3 x 17 x 347 x 367

Step 4: Therefore, the least common multiple of 6239 and 6246 is 38968794.