Least Common Multiple of 5236 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 5236 and 5243 the smallest integer that is 3921764 that is divisible by both numbers.

Least Common Multiple (LCM) of 5236 and 5243 is 3921764.

LCM(5236,5243) = 3921764

LCM of 5236 and 5243

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

LCM of:
and

Least Common Multiple of 5236 and 5243

LCM of 5236 and 5243 is 3921764

Least common multiple can be found by multiplying the highest exponent prime factors of 5236 and 5243. First we will calculate the prime factors of 5236 and 5243.

Prime Factorization of 5236


2 5236
2 2618
7 1309
11 187
17 17
1

Prime factors of 5236 are 2, 7, 11,17. Prime factorization of 5236 in exponential form is:

5236 = 22×71×111×171

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 5236 and 5243.

LCM(5236,5243) = 22×72×111×171×1071
LCM(5236,5243) = 3921764

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236

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 5236 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 5236 and 5243, than apply into the LCM equation.

GCF(5236,5243) = 7
LCM(5236,5243) = ( 5236 × 5243) / 7
LCM(5236,5243) = 27452348 / 7
LCM(5236,5243) = 3921764

Properties of LCM 5236 and 5243

(i) The LCM of 5243 and 5236 is associative

LCM of 5236 and 5243 = LCM of 5243 and 5236

Related Least Common Multiples of 5236

Related Least Common Multiples of 5243

Frequently Asked Questions on LCM of 5236 and 5243

1. What is the LCM of 5236 and 5243?

Answer: LCM of 5236 and 5243 is 3921764.

2. What are the Factors of 5236?

Answer: Factors of 5236 are 1, 2, 4, 7, 11, 14, 17, 22, 28, 34, 44, 68, 77, 119, 154, 187, 238, 308, 374, 476, 748, 1309, 2618, 5236. There are 24 integers that are factors of 5236. The greatest factor of 5236 is 5236.

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 5236 and 5243?

Answer:

Least Common Multiple of 5236 and 5243 = 3921764

Step 1: Find the prime factorization of 5236

5236 = 2 x 2 x 7 x 11 x 17

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 = 3921764 = 2 x 2 x 7 x 7 x 11 x 17 x 107

Step 4: Therefore, the least common multiple of 5236 and 5243 is 3921764.