Least Common Multiple of 6228 and 6232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6228 and 6232 the smallest integer that is 9703224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6228 and 6232 is 9703224.

LCM(6228,6232) = 9703224

LCM of 6228 and 6232

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

LCM of:
and

Least Common Multiple of 6228 and 6232

LCM of 6228 and 6232 is 9703224

Least common multiple can be found by multiplying the highest exponent prime factors of 6228 and 6232. First we will calculate the prime factors of 6228 and 6232.

Prime Factorization of 6228


2 6228
2 3114
3 1557
3 519
173 173
1

Prime factors of 6228 are 2, 3,173. Prime factorization of 6228 in exponential form is:

6228 = 22×32×1731

Prime Factorization of 6232


2 6232
2 3116
2 1558
19 779
41 41
1

Prime factors of 6232 are 2, 19,41. Prime factorization of 6232 in exponential form is:

6232 = 23×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6228 and 6232.

LCM(6228,6232) = 23×32×191×411×1731
LCM(6228,6232) = 9703224

Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228

Factors of 6232

List of positive integer factors of 6232 that divides 6232 without a remainder.

1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232

Least Common Multiple of 6228 and 6232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6228 and 6232, than apply into the LCM equation.

GCF(6228,6232) = 4
LCM(6228,6232) = ( 6228 × 6232) / 4
LCM(6228,6232) = 38812896 / 4
LCM(6228,6232) = 9703224

Properties of LCM 6228 and 6232

(i) The LCM of 6232 and 6228 is associative

LCM of 6228 and 6232 = LCM of 6232 and 6228

Related Least Common Multiples of 6228

Related Least Common Multiples of 6232

Frequently Asked Questions on LCM of 6228 and 6232

1. What is the LCM of 6228 and 6232?

Answer: LCM of 6228 and 6232 is 9703224.

2. What are the Factors of 6228?

Answer: Factors of 6228 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 173, 346, 519, 692, 1038, 1557, 2076, 3114, 6228. There are 18 integers that are factors of 6228. The greatest factor of 6228 is 6228.

3. What are the Factors of 6232?

Answer: Factors of 6232 are 1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232. There are 16 integers that are factors of 6232. The greatest factor of 6232 is 6232.

4. How to Find the LCM of 6228 and 6232?

Answer:

Least Common Multiple of 6228 and 6232 = 9703224

Step 1: Find the prime factorization of 6228

6228 = 2 x 2 x 3 x 3 x 173

Step 2: Find the prime factorization of 6232

6232 = 2 x 2 x 2 x 19 x 41

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

LCM = 9703224 = 2 x 2 x 2 x 3 x 3 x 19 x 41 x 173

Step 4: Therefore, the least common multiple of 6228 and 6232 is 9703224.