Least Common Multiple of 6241 and 6249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6241 and 6249 the smallest integer that is 39000009 that is divisible by both numbers.

Least Common Multiple (LCM) of 6241 and 6249 is 39000009.

LCM(6241,6249) = 39000009

LCM of 6241 and 6249

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

LCM of:
and

Least Common Multiple of 6241 and 6249

LCM of 6241 and 6249 is 39000009

Least common multiple can be found by multiplying the highest exponent prime factors of 6241 and 6249. First we will calculate the prime factors of 6241 and 6249.

Prime Factorization of 6241


79 6241
79 79
1

Prime factors of 6241 are 79. Prime factorization of 6241 in exponential form is:

6241 = 792

Prime Factorization of 6249


3 6249
2083 2083
1

Prime factors of 6249 are 3,2083. Prime factorization of 6249 in exponential form is:

6249 = 31×20831

Now multiplying the highest exponent prime factors to calculate the LCM of 6241 and 6249.

LCM(6241,6249) = 31×792×20831
LCM(6241,6249) = 39000009

Factors of 6241

List of positive integer factors of 6241 that divides 6241 without a remainder.

1, 79, 6241

Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1, 3, 2083, 6249

Least Common Multiple of 6241 and 6249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6241 and 6249, than apply into the LCM equation.

GCF(6241,6249) = 1
LCM(6241,6249) = ( 6241 × 6249) / 1
LCM(6241,6249) = 39000009 / 1
LCM(6241,6249) = 39000009

Properties of LCM 6241 and 6249

(i) The LCM of 6249 and 6241 is associative

LCM of 6241 and 6249 = LCM of 6249 and 6241

Related Least Common Multiples of 6241

Related Least Common Multiples of 6249

Frequently Asked Questions on LCM of 6241 and 6249

1. What is the LCM of 6241 and 6249?

Answer: LCM of 6241 and 6249 is 39000009.

2. What are the Factors of 6241?

Answer: Factors of 6241 are 1, 79, 6241. There are 3 integers that are factors of 6241. The greatest factor of 6241 is 6241.

3. What are the Factors of 6249?

Answer: Factors of 6249 are 1, 3, 2083, 6249. There are 4 integers that are factors of 6249. The greatest factor of 6249 is 6249.

4. How to Find the LCM of 6241 and 6249?

Answer:

Least Common Multiple of 6241 and 6249 = 39000009

Step 1: Find the prime factorization of 6241

6241 = 79 x 79

Step 2: Find the prime factorization of 6249

6249 = 3 x 2083

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

LCM = 39000009 = 3 x 79 x 79 x 2083

Step 4: Therefore, the least common multiple of 6241 and 6249 is 39000009.