Least Common Multiple of 6238 and 6245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6238 and 6245 the smallest integer that is 38956310 that is divisible by both numbers.

Least Common Multiple (LCM) of 6238 and 6245 is 38956310.

LCM(6238,6245) = 38956310

LCM of 6238 and 6245

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

LCM of:
and

Least Common Multiple of 6238 and 6245

LCM of 6238 and 6245 is 38956310

Least common multiple can be found by multiplying the highest exponent prime factors of 6238 and 6245. First we will calculate the prime factors of 6238 and 6245.

Prime Factorization of 6238


2 6238
3119 3119
1

Prime factors of 6238 are 2,3119. Prime factorization of 6238 in exponential form is:

6238 = 21×31191

Prime Factorization of 6245


5 6245
1249 1249
1

Prime factors of 6245 are 5,1249. Prime factorization of 6245 in exponential form is:

6245 = 51×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 6238 and 6245.

LCM(6238,6245) = 21×51×12491×31191
LCM(6238,6245) = 38956310

Factors of 6238

List of positive integer factors of 6238 that divides 6238 without a remainder.

1, 2, 3119, 6238

Factors of 6245

List of positive integer factors of 6245 that divides 6245 without a remainder.

1, 5, 1249, 6245

Least Common Multiple of 6238 and 6245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6238 and 6245, than apply into the LCM equation.

GCF(6238,6245) = 1
LCM(6238,6245) = ( 6238 × 6245) / 1
LCM(6238,6245) = 38956310 / 1
LCM(6238,6245) = 38956310

Properties of LCM 6238 and 6245

(i) The LCM of 6245 and 6238 is associative

LCM of 6238 and 6245 = LCM of 6245 and 6238

Related Least Common Multiples of 6238

Related Least Common Multiples of 6245

Frequently Asked Questions on LCM of 6238 and 6245

1. What is the LCM of 6238 and 6245?

Answer: LCM of 6238 and 6245 is 38956310.

2. What are the Factors of 6238?

Answer: Factors of 6238 are 1, 2, 3119, 6238. There are 4 integers that are factors of 6238. The greatest factor of 6238 is 6238.

3. What are the Factors of 6245?

Answer: Factors of 6245 are 1, 5, 1249, 6245. There are 4 integers that are factors of 6245. The greatest factor of 6245 is 6245.

4. How to Find the LCM of 6238 and 6245?

Answer:

Least Common Multiple of 6238 and 6245 = 38956310

Step 1: Find the prime factorization of 6238

6238 = 2 x 3119

Step 2: Find the prime factorization of 6245

6245 = 5 x 1249

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

LCM = 38956310 = 2 x 5 x 1249 x 3119

Step 4: Therefore, the least common multiple of 6238 and 6245 is 38956310.