Least Common Multiple of 5233 and 5235

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 5235 the smallest integer that is 27394755 that is divisible by both numbers.

Least Common Multiple (LCM) of 5233 and 5235 is 27394755.

LCM(5233,5235) = 27394755

LCM of 5233 and 5235

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

LCM of:
and

Least Common Multiple of 5233 and 5235

LCM of 5233 and 5235 is 27394755

Least common multiple can be found by multiplying the highest exponent prime factors of 5233 and 5235. First we will calculate the prime factors of 5233 and 5235.

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 5235


3 5235
5 1745
349 349
1

Prime factors of 5235 are 3, 5,349. Prime factorization of 5235 in exponential form is:

5235 = 31×51×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5233 and 5235.

LCM(5233,5235) = 31×51×3491×52331
LCM(5233,5235) = 27394755

Factors of 5233

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

1, 5233

Factors of 5235

List of positive integer factors of 5235 that divides 5235 without a remainder.

1, 3, 5, 15, 349, 1047, 1745, 5235

Least Common Multiple of 5233 and 5235 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 5235, than apply into the LCM equation.

GCF(5233,5235) = 1
LCM(5233,5235) = ( 5233 × 5235) / 1
LCM(5233,5235) = 27394755 / 1
LCM(5233,5235) = 27394755

Properties of LCM 5233 and 5235

(i) The LCM of 5235 and 5233 is associative

LCM of 5233 and 5235 = LCM of 5235 and 5233

Related Least Common Multiples of 5233

Related Least Common Multiples of 5235

Frequently Asked Questions on LCM of 5233 and 5235

1. What is the LCM of 5233 and 5235?

Answer: LCM of 5233 and 5235 is 27394755.

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 5235?

Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.

4. How to Find the LCM of 5233 and 5235?

Answer:

Least Common Multiple of 5233 and 5235 = 27394755

Step 1: Find the prime factorization of 5233

5233 = 5233

Step 2: Find the prime factorization of 5235

5235 = 3 x 5 x 349

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

LCM = 27394755 = 3 x 5 x 349 x 5233

Step 4: Therefore, the least common multiple of 5233 and 5235 is 27394755.