Least Common Multiple of 5233 and 5237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5233 and 5237 the smallest integer that is 27405221 that is divisible by both numbers.

Least Common Multiple (LCM) of 5233 and 5237 is 27405221.

LCM(5233,5237) = 27405221

LCM of 5233 and 5237

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

LCM of:
and

Least Common Multiple of 5233 and 5237

LCM of 5233 and 5237 is 27405221

Least common multiple can be found by multiplying the highest exponent prime factors of 5233 and 5237. First we will calculate the prime factors of 5233 and 5237.

Prime Factorization of 5233


5233 5233
1

Prime factors of 5233 are 5233. Prime factorization of 5233 in exponential form is:

5233 = 52331

Prime Factorization of 5237


5237 5237
1

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

5237 = 52371

Now multiplying the highest exponent prime factors to calculate the LCM of 5233 and 5237.

LCM(5233,5237) = 52331×52371
LCM(5233,5237) = 27405221

Factors of 5233

List of positive integer factors of 5233 that divides 5233 without a remainder.

1, 5233

Factors of 5237

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

1, 5237

Least Common Multiple of 5233 and 5237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5233 and 5237, than apply into the LCM equation.

GCF(5233,5237) = 1
LCM(5233,5237) = ( 5233 × 5237) / 1
LCM(5233,5237) = 27405221 / 1
LCM(5233,5237) = 27405221

Properties of LCM 5233 and 5237

(i) The LCM of 5237 and 5233 is associative

LCM of 5233 and 5237 = LCM of 5237 and 5233

Related Least Common Multiples of 5233

Related Least Common Multiples of 5237

Frequently Asked Questions on LCM of 5233 and 5237

1. What is the LCM of 5233 and 5237?

Answer: LCM of 5233 and 5237 is 27405221.

2. What are the Factors of 5233?

Answer: Factors of 5233 are 1, 5233. There are 2 integers that are factors of 5233. The greatest factor of 5233 is 5233.

3. 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.

4. How to Find the LCM of 5233 and 5237?

Answer:

Least Common Multiple of 5233 and 5237 = 27405221

Step 1: Find the prime factorization of 5233

5233 = 5233

Step 2: Find the prime factorization of 5237

5237 = 5237

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

LCM = 27405221 = 5233 x 5237

Step 4: Therefore, the least common multiple of 5233 and 5237 is 27405221.