Least Common Multiple of 5237 and 5243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5237 and 5243 the smallest integer that is 27457591 that is divisible by both numbers.

Least Common Multiple (LCM) of 5237 and 5243 is 27457591.

LCM(5237,5243) = 27457591

LCM of 5237 and 5243

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

LCM of:
and

Least Common Multiple of 5237 and 5243

LCM of 5237 and 5243 is 27457591

Least common multiple can be found by multiplying the highest exponent prime factors of 5237 and 5243. First we will calculate the prime factors of 5237 and 5243.

Prime Factorization of 5237


5237 5237
1

Prime factors of 5237 are 5237. Prime factorization of 5237 in exponential form is:

5237 = 52371

Prime Factorization of 5243


7 5243
7 749
107 107
1

Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:

5243 = 72×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5237 and 5243.

LCM(5237,5243) = 72×1071×52371
LCM(5237,5243) = 27457591

Factors of 5237

List of positive integer factors of 5237 that divides 5237 without a remainder.

1, 5237

Factors of 5243

List of positive integer factors of 5243 that divides 5243 without a remainder.

1, 7, 49, 107, 749, 5243

Least Common Multiple of 5237 and 5243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5237 and 5243, than apply into the LCM equation.

GCF(5237,5243) = 1
LCM(5237,5243) = ( 5237 × 5243) / 1
LCM(5237,5243) = 27457591 / 1
LCM(5237,5243) = 27457591

Properties of LCM 5237 and 5243

(i) The LCM of 5243 and 5237 is associative

LCM of 5237 and 5243 = LCM of 5243 and 5237

Related Least Common Multiples of 5237

Related Least Common Multiples of 5243

Frequently Asked Questions on LCM of 5237 and 5243

1. What is the LCM of 5237 and 5243?

Answer: LCM of 5237 and 5243 is 27457591.

2. What are the Factors of 5237?

Answer: Factors of 5237 are 1, 5237. There are 2 integers that are factors of 5237. The greatest factor of 5237 is 5237.

3. What are the Factors of 5243?

Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.

4. How to Find the LCM of 5237 and 5243?

Answer:

Least Common Multiple of 5237 and 5243 = 27457591

Step 1: Find the prime factorization of 5237

5237 = 5237

Step 2: Find the prime factorization of 5243

5243 = 7 x 7 x 107

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

LCM = 27457591 = 7 x 7 x 107 x 5237

Step 4: Therefore, the least common multiple of 5237 and 5243 is 27457591.