Least Common Multiple of 5242 and 5245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 5242 and 5245 the smallest integer that is 27494290 that is divisible by both numbers.

Least Common Multiple (LCM) of 5242 and 5245 is 27494290.

LCM(5242,5245) = 27494290

LCM of 5242 and 5245

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

LCM of:
and

Least Common Multiple of 5242 and 5245

LCM of 5242 and 5245 is 27494290

Least common multiple can be found by multiplying the highest exponent prime factors of 5242 and 5245. First we will calculate the prime factors of 5242 and 5245.

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

Prime Factorization of 5245


5 5245
1049 1049
1

Prime factors of 5245 are 5,1049. Prime factorization of 5245 in exponential form is:

5245 = 51×10491

Now multiplying the highest exponent prime factors to calculate the LCM of 5242 and 5245.

LCM(5242,5245) = 21×51×10491×26211
LCM(5242,5245) = 27494290

Factors of 5242

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

1, 2, 2621, 5242

Factors of 5245

List of positive integer factors of 5245 that divides 5245 without a remainder.

1, 5, 1049, 5245

Least Common Multiple of 5242 and 5245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5242 and 5245, than apply into the LCM equation.

GCF(5242,5245) = 1
LCM(5242,5245) = ( 5242 × 5245) / 1
LCM(5242,5245) = 27494290 / 1
LCM(5242,5245) = 27494290

Properties of LCM 5242 and 5245

(i) The LCM of 5245 and 5242 is associative

LCM of 5242 and 5245 = LCM of 5245 and 5242

Frequently Asked Questions on LCM of 5242 and 5245

1. What is the LCM of 5242 and 5245?

Answer: LCM of 5242 and 5245 is 27494290.

2. 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.

3. What are the Factors of 5245?

Answer: Factors of 5245 are 1, 5, 1049, 5245. There are 4 integers that are factors of 5245. The greatest factor of 5245 is 5245.

4. How to Find the LCM of 5242 and 5245?

Answer:

Least Common Multiple of 5242 and 5245 = 27494290

Step 1: Find the prime factorization of 5242

5242 = 2 x 2621

Step 2: Find the prime factorization of 5245

5245 = 5 x 1049

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

LCM = 27494290 = 2 x 5 x 1049 x 2621

Step 4: Therefore, the least common multiple of 5242 and 5245 is 27494290.