Least Common Multiple of 5235 and 5242

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 5242 the smallest integer that is 27441870 that is divisible by both numbers.

Least Common Multiple (LCM) of 5235 and 5242 is 27441870.

LCM(5235,5242) = 27441870

LCM of 5235 and 5242

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

LCM of:
and

Least Common Multiple of 5235 and 5242

LCM of 5235 and 5242 is 27441870

Least common multiple can be found by multiplying the highest exponent prime factors of 5235 and 5242. First we will calculate the prime factors of 5235 and 5242.

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 5242


2 5242
2621 2621
1

Prime factors of 5242 are 2,2621. Prime factorization of 5242 in exponential form is:

5242 = 21×26211

Now multiplying the highest exponent prime factors to calculate the LCM of 5235 and 5242.

LCM(5235,5242) = 21×31×51×3491×26211
LCM(5235,5242) = 27441870

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 5242

List of positive integer factors of 5242 that divides 5242 without a remainder.

1, 2, 2621, 5242

Least Common Multiple of 5235 and 5242 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 5242, than apply into the LCM equation.

GCF(5235,5242) = 1
LCM(5235,5242) = ( 5235 × 5242) / 1
LCM(5235,5242) = 27441870 / 1
LCM(5235,5242) = 27441870

Properties of LCM 5235 and 5242

(i) The LCM of 5242 and 5235 is associative

LCM of 5235 and 5242 = LCM of 5242 and 5235

Related Least Common Multiples of 5235

Related Least Common Multiples of 5242

Frequently Asked Questions on LCM of 5235 and 5242

1. What is the LCM of 5235 and 5242?

Answer: LCM of 5235 and 5242 is 27441870.

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 5242?

Answer: Factors of 5242 are 1, 2, 2621, 5242. There are 4 integers that are factors of 5242. The greatest factor of 5242 is 5242.

4. How to Find the LCM of 5235 and 5242?

Answer:

Least Common Multiple of 5235 and 5242 = 27441870

Step 1: Find the prime factorization of 5235

5235 = 3 x 5 x 349

Step 2: Find the prime factorization of 5242

5242 = 2 x 2621

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

LCM = 27441870 = 2 x 3 x 5 x 349 x 2621

Step 4: Therefore, the least common multiple of 5235 and 5242 is 27441870.