Least Common Multiple of 5228 and 5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5228 and 5232 the smallest integer that is 6838224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5228 and 5232 is 6838224.

LCM(5228,5232) = 6838224

LCM of 5228 and 5232

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

LCM of:
and

Least Common Multiple of 5228 and 5232

LCM of 5228 and 5232 is 6838224

Least common multiple can be found by multiplying the highest exponent prime factors of 5228 and 5232. First we will calculate the prime factors of 5228 and 5232.

Prime Factorization of 5228


2 5228
2 2614
1307 1307
1

Prime factors of 5228 are 2,1307. Prime factorization of 5228 in exponential form is:

5228 = 22×13071

Prime Factorization of 5232


2 5232
2 2616
2 1308
2 654
3 327
109 109
1

Prime factors of 5232 are 2, 3,109. Prime factorization of 5232 in exponential form is:

5232 = 24×31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5228 and 5232.

LCM(5228,5232) = 24×31×1091×13071
LCM(5228,5232) = 6838224

Factors of 5228

List of positive integer factors of 5228 that divides 5228 without a remainder.

1, 2, 4, 1307, 2614, 5228

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232

Least Common Multiple of 5228 and 5232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5228 and 5232, than apply into the LCM equation.

GCF(5228,5232) = 4
LCM(5228,5232) = ( 5228 × 5232) / 4
LCM(5228,5232) = 27352896 / 4
LCM(5228,5232) = 6838224

Properties of LCM 5228 and 5232

(i) The LCM of 5232 and 5228 is associative

LCM of 5228 and 5232 = LCM of 5232 and 5228

Related Least Common Multiples of 5228

Related Least Common Multiples of 5232

Frequently Asked Questions on LCM of 5228 and 5232

1. What is the LCM of 5228 and 5232?

Answer: LCM of 5228 and 5232 is 6838224.

2. What are the Factors of 5228?

Answer: Factors of 5228 are 1, 2, 4, 1307, 2614, 5228. There are 6 integers that are factors of 5228. The greatest factor of 5228 is 5228.

3. What are the Factors of 5232?

Answer: Factors of 5232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 109, 218, 327, 436, 654, 872, 1308, 1744, 2616, 5232. There are 20 integers that are factors of 5232. The greatest factor of 5232 is 5232.

4. How to Find the LCM of 5228 and 5232?

Answer:

Least Common Multiple of 5228 and 5232 = 6838224

Step 1: Find the prime factorization of 5228

5228 = 2 x 2 x 1307

Step 2: Find the prime factorization of 5232

5232 = 2 x 2 x 2 x 2 x 3 x 109

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

LCM = 6838224 = 2 x 2 x 2 x 2 x 3 x 109 x 1307

Step 4: Therefore, the least common multiple of 5228 and 5232 is 6838224.