Least Common Multiple of 5238 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 5238 and 5245 the smallest integer that is 27473310 that is divisible by both numbers.

Least Common Multiple (LCM) of 5238 and 5245 is 27473310.

LCM(5238,5245) = 27473310

LCM of 5238 and 5245

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

LCM of:
and

Least Common Multiple of 5238 and 5245

LCM of 5238 and 5245 is 27473310

Least common multiple can be found by multiplying the highest exponent prime factors of 5238 and 5245. First we will calculate the prime factors of 5238 and 5245.

Prime Factorization of 5238


2 5238
3 2619
3 873
3 291
97 97
1

Prime factors of 5238 are 2, 3,97. Prime factorization of 5238 in exponential form is:

5238 = 21×33×971

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 5238 and 5245.

LCM(5238,5245) = 21×33×51×971×10491
LCM(5238,5245) = 27473310

Factors of 5238

List of positive integer factors of 5238 that divides 5238 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238

Factors of 5245

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

1, 5, 1049, 5245

Least Common Multiple of 5238 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 5238 and 5245, than apply into the LCM equation.

GCF(5238,5245) = 1
LCM(5238,5245) = ( 5238 × 5245) / 1
LCM(5238,5245) = 27473310 / 1
LCM(5238,5245) = 27473310

Properties of LCM 5238 and 5245

(i) The LCM of 5245 and 5238 is associative

LCM of 5238 and 5245 = LCM of 5245 and 5238

Related Least Common Multiples of 5238

Related Least Common Multiples of 5245

Frequently Asked Questions on LCM of 5238 and 5245

1. What is the LCM of 5238 and 5245?

Answer: LCM of 5238 and 5245 is 27473310.

2. What are the Factors of 5238?

Answer: Factors of 5238 are 1, 2, 3, 6, 9, 18, 27, 54, 97, 194, 291, 582, 873, 1746, 2619, 5238. There are 16 integers that are factors of 5238. The greatest factor of 5238 is 5238.

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 5238 and 5245?

Answer:

Least Common Multiple of 5238 and 5245 = 27473310

Step 1: Find the prime factorization of 5238

5238 = 2 x 3 x 3 x 3 x 97

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 = 27473310 = 2 x 3 x 3 x 3 x 5 x 97 x 1049

Step 4: Therefore, the least common multiple of 5238 and 5245 is 27473310.