Least Common Multiple of 5238 and 5244

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 5244 the smallest integer that is 4578012 that is divisible by both numbers.

Least Common Multiple (LCM) of 5238 and 5244 is 4578012.

LCM(5238,5244) = 4578012

LCM of 5238 and 5244

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

LCM of:
and

Least Common Multiple of 5238 and 5244

LCM of 5238 and 5244 is 4578012

Least common multiple can be found by multiplying the highest exponent prime factors of 5238 and 5244. First we will calculate the prime factors of 5238 and 5244.

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 5244


2 5244
2 2622
3 1311
19 437
23 23
1

Prime factors of 5244 are 2, 3, 19,23. Prime factorization of 5244 in exponential form is:

5244 = 22×31×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5238 and 5244.

LCM(5238,5244) = 22×33×191×231×971
LCM(5238,5244) = 4578012

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 5244

List of positive integer factors of 5244 that divides 5244 without a remainder.

1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244

Least Common Multiple of 5238 and 5244 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 5244, than apply into the LCM equation.

GCF(5238,5244) = 6
LCM(5238,5244) = ( 5238 × 5244) / 6
LCM(5238,5244) = 27468072 / 6
LCM(5238,5244) = 4578012

Properties of LCM 5238 and 5244

(i) The LCM of 5244 and 5238 is associative

LCM of 5238 and 5244 = LCM of 5244 and 5238

Related Least Common Multiples of 5238

Related Least Common Multiples of 5244

Frequently Asked Questions on LCM of 5238 and 5244

1. What is the LCM of 5238 and 5244?

Answer: LCM of 5238 and 5244 is 4578012.

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 5244?

Answer: Factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244. There are 24 integers that are factors of 5244. The greatest factor of 5244 is 5244.

4. How to Find the LCM of 5238 and 5244?

Answer:

Least Common Multiple of 5238 and 5244 = 4578012

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 5244

5244 = 2 x 2 x 3 x 19 x 23

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

LCM = 4578012 = 2 x 2 x 3 x 3 x 3 x 19 x 23 x 97

Step 4: Therefore, the least common multiple of 5238 and 5244 is 4578012.