Least Common Multiple of 4241 and 4249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4241 and 4249 the smallest integer that is 18020009 that is divisible by both numbers.

Least Common Multiple (LCM) of 4241 and 4249 is 18020009.

LCM(4241,4249) = 18020009

LCM of 4241 and 4249

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

LCM of:
and

Least Common Multiple of 4241 and 4249

LCM of 4241 and 4249 is 18020009

Least common multiple can be found by multiplying the highest exponent prime factors of 4241 and 4249. First we will calculate the prime factors of 4241 and 4249.

Prime Factorization of 4241


4241 4241
1

Prime factors of 4241 are 4241. Prime factorization of 4241 in exponential form is:

4241 = 42411

Prime Factorization of 4249


7 4249
607 607
1

Prime factors of 4249 are 7,607. Prime factorization of 4249 in exponential form is:

4249 = 71×6071

Now multiplying the highest exponent prime factors to calculate the LCM of 4241 and 4249.

LCM(4241,4249) = 71×6071×42411
LCM(4241,4249) = 18020009

Factors of 4241

List of positive integer factors of 4241 that divides 4241 without a remainder.

1, 4241

Factors of 4249

List of positive integer factors of 4249 that divides 4249 without a remainder.

1, 7, 607, 4249

Least Common Multiple of 4241 and 4249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4241 and 4249, than apply into the LCM equation.

GCF(4241,4249) = 1
LCM(4241,4249) = ( 4241 × 4249) / 1
LCM(4241,4249) = 18020009 / 1
LCM(4241,4249) = 18020009

Properties of LCM 4241 and 4249

(i) The LCM of 4249 and 4241 is associative

LCM of 4241 and 4249 = LCM of 4249 and 4241

Related Least Common Multiples of 4241

Related Least Common Multiples of 4249

Frequently Asked Questions on LCM of 4241 and 4249

1. What is the LCM of 4241 and 4249?

Answer: LCM of 4241 and 4249 is 18020009.

2. What are the Factors of 4241?

Answer: Factors of 4241 are 1, 4241. There are 2 integers that are factors of 4241. The greatest factor of 4241 is 4241.

3. What are the Factors of 4249?

Answer: Factors of 4249 are 1, 7, 607, 4249. There are 4 integers that are factors of 4249. The greatest factor of 4249 is 4249.

4. How to Find the LCM of 4241 and 4249?

Answer:

Least Common Multiple of 4241 and 4249 = 18020009

Step 1: Find the prime factorization of 4241

4241 = 4241

Step 2: Find the prime factorization of 4249

4249 = 7 x 607

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

LCM = 18020009 = 7 x 607 x 4241

Step 4: Therefore, the least common multiple of 4241 and 4249 is 18020009.