Least Common Multiple of 5235 and 5241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5235 and 5241 the smallest integer that is 9145545 that is divisible by both numbers.

Least Common Multiple (LCM) of 5235 and 5241 is 9145545.

LCM(5235,5241) = 9145545

LCM of 5235 and 5241

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

LCM of:
and

Least Common Multiple of 5235 and 5241

LCM of 5235 and 5241 is 9145545

Least common multiple can be found by multiplying the highest exponent prime factors of 5235 and 5241. First we will calculate the prime factors of 5235 and 5241.

Prime Factorization of 5235


3 5235
5 1745
349 349
1

Prime factors of 5235 are 3, 5,349. Prime factorization of 5235 in exponential form is:

5235 = 31×51×3491

Prime Factorization of 5241


3 5241
1747 1747
1

Prime factors of 5241 are 3,1747. Prime factorization of 5241 in exponential form is:

5241 = 31×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 5235 and 5241.

LCM(5235,5241) = 31×51×3491×17471
LCM(5235,5241) = 9145545

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1, 3, 5, 15, 349, 1047, 1745, 5235

Factors of 5241

List of positive integer factors of 5241 that divides 5241 without a remainder.

1, 3, 1747, 5241

Least Common Multiple of 5235 and 5241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5235 and 5241, than apply into the LCM equation.

GCF(5235,5241) = 3
LCM(5235,5241) = ( 5235 × 5241) / 3
LCM(5235,5241) = 27436635 / 3
LCM(5235,5241) = 9145545

Properties of LCM 5235 and 5241

(i) The LCM of 5241 and 5235 is associative

LCM of 5235 and 5241 = LCM of 5241 and 5235

Related Least Common Multiples of 5235

Related Least Common Multiples of 5241

Frequently Asked Questions on LCM of 5235 and 5241

1. What is the LCM of 5235 and 5241?

Answer: LCM of 5235 and 5241 is 9145545.

2. What are the Factors of 5235?

Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.

3. What are the Factors of 5241?

Answer: Factors of 5241 are 1, 3, 1747, 5241. There are 4 integers that are factors of 5241. The greatest factor of 5241 is 5241.

4. How to Find the LCM of 5235 and 5241?

Answer:

Least Common Multiple of 5235 and 5241 = 9145545

Step 1: Find the prime factorization of 5235

5235 = 3 x 5 x 349

Step 2: Find the prime factorization of 5241

5241 = 3 x 1747

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

LCM = 9145545 = 3 x 5 x 349 x 1747

Step 4: Therefore, the least common multiple of 5235 and 5241 is 9145545.