Least Common Multiple of 5238 and 5246

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 5246 the smallest integer that is 13739274 that is divisible by both numbers.

Least Common Multiple (LCM) of 5238 and 5246 is 13739274.

LCM(5238,5246) = 13739274

LCM of 5238 and 5246

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

LCM of:
and

Least Common Multiple of 5238 and 5246

LCM of 5238 and 5246 is 13739274

Least common multiple can be found by multiplying the highest exponent prime factors of 5238 and 5246. First we will calculate the prime factors of 5238 and 5246.

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 5246


2 5246
43 2623
61 61
1

Prime factors of 5246 are 2, 43,61. Prime factorization of 5246 in exponential form is:

5246 = 21×431×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5238 and 5246.

LCM(5238,5246) = 21×33×431×611×971
LCM(5238,5246) = 13739274

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 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1, 2, 43, 61, 86, 122, 2623, 5246

Least Common Multiple of 5238 and 5246 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 5246, than apply into the LCM equation.

GCF(5238,5246) = 2
LCM(5238,5246) = ( 5238 × 5246) / 2
LCM(5238,5246) = 27478548 / 2
LCM(5238,5246) = 13739274

Properties of LCM 5238 and 5246

(i) The LCM of 5246 and 5238 is associative

LCM of 5238 and 5246 = LCM of 5246 and 5238

Related Least Common Multiples of 5238

Related Least Common Multiples of 5246

Frequently Asked Questions on LCM of 5238 and 5246

1. What is the LCM of 5238 and 5246?

Answer: LCM of 5238 and 5246 is 13739274.

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 5246?

Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.

4. How to Find the LCM of 5238 and 5246?

Answer:

Least Common Multiple of 5238 and 5246 = 13739274

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 5246

5246 = 2 x 43 x 61

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

LCM = 13739274 = 2 x 3 x 3 x 3 x 43 x 61 x 97

Step 4: Therefore, the least common multiple of 5238 and 5246 is 13739274.