Least Common Multiple of 4241 and 4248

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 4248 the smallest integer that is 18015768 that is divisible by both numbers.

Least Common Multiple (LCM) of 4241 and 4248 is 18015768.

LCM(4241,4248) = 18015768

LCM of 4241 and 4248

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

LCM of:
and

Least Common Multiple of 4241 and 4248

LCM of 4241 and 4248 is 18015768

Least common multiple can be found by multiplying the highest exponent prime factors of 4241 and 4248. First we will calculate the prime factors of 4241 and 4248.

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 4248


2 4248
2 2124
2 1062
3 531
3 177
59 59
1

Prime factors of 4248 are 2, 3,59. Prime factorization of 4248 in exponential form is:

4248 = 23×32×591

Now multiplying the highest exponent prime factors to calculate the LCM of 4241 and 4248.

LCM(4241,4248) = 23×32×591×42411
LCM(4241,4248) = 18015768

Factors of 4241

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

1, 4241

Factors of 4248

List of positive integer factors of 4248 that divides 4248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248

Least Common Multiple of 4241 and 4248 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 4248, than apply into the LCM equation.

GCF(4241,4248) = 1
LCM(4241,4248) = ( 4241 × 4248) / 1
LCM(4241,4248) = 18015768 / 1
LCM(4241,4248) = 18015768

Properties of LCM 4241 and 4248

(i) The LCM of 4248 and 4241 is associative

LCM of 4241 and 4248 = LCM of 4248 and 4241

Related Least Common Multiples of 4241

Related Least Common Multiples of 4248

Frequently Asked Questions on LCM of 4241 and 4248

1. What is the LCM of 4241 and 4248?

Answer: LCM of 4241 and 4248 is 18015768.

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 4248?

Answer: Factors of 4248 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 59, 72, 118, 177, 236, 354, 472, 531, 708, 1062, 1416, 2124, 4248. There are 24 integers that are factors of 4248. The greatest factor of 4248 is 4248.

4. How to Find the LCM of 4241 and 4248?

Answer:

Least Common Multiple of 4241 and 4248 = 18015768

Step 1: Find the prime factorization of 4241

4241 = 4241

Step 2: Find the prime factorization of 4248

4248 = 2 x 2 x 2 x 3 x 3 x 59

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

LCM = 18015768 = 2 x 2 x 2 x 3 x 3 x 59 x 4241

Step 4: Therefore, the least common multiple of 4241 and 4248 is 18015768.