Least Common Multiple of 4228 and 4232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4228 and 4232 the smallest integer that is 4473224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4228 and 4232 is 4473224.

LCM(4228,4232) = 4473224

LCM of 4228 and 4232

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

LCM of:
and

Least Common Multiple of 4228 and 4232

LCM of 4228 and 4232 is 4473224

Least common multiple can be found by multiplying the highest exponent prime factors of 4228 and 4232. First we will calculate the prime factors of 4228 and 4232.

Prime Factorization of 4228


2 4228
2 2114
7 1057
151 151
1

Prime factors of 4228 are 2, 7,151. Prime factorization of 4228 in exponential form is:

4228 = 22×71×1511

Prime Factorization of 4232


2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 4232 are 2,23. Prime factorization of 4232 in exponential form is:

4232 = 23×232

Now multiplying the highest exponent prime factors to calculate the LCM of 4228 and 4232.

LCM(4228,4232) = 23×71×232×1511
LCM(4228,4232) = 4473224

Factors of 4228

List of positive integer factors of 4228 that divides 4228 without a remainder.

1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228

Factors of 4232

List of positive integer factors of 4232 that divides 4232 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232

Least Common Multiple of 4228 and 4232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4228 and 4232, than apply into the LCM equation.

GCF(4228,4232) = 4
LCM(4228,4232) = ( 4228 × 4232) / 4
LCM(4228,4232) = 17892896 / 4
LCM(4228,4232) = 4473224

Properties of LCM 4228 and 4232

(i) The LCM of 4232 and 4228 is associative

LCM of 4228 and 4232 = LCM of 4232 and 4228

Related Least Common Multiples of 4228

Related Least Common Multiples of 4232

Frequently Asked Questions on LCM of 4228 and 4232

1. What is the LCM of 4228 and 4232?

Answer: LCM of 4228 and 4232 is 4473224.

2. What are the Factors of 4228?

Answer: Factors of 4228 are 1, 2, 4, 7, 14, 28, 151, 302, 604, 1057, 2114, 4228. There are 12 integers that are factors of 4228. The greatest factor of 4228 is 4228.

3. What are the Factors of 4232?

Answer: Factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232. There are 12 integers that are factors of 4232. The greatest factor of 4232 is 4232.

4. How to Find the LCM of 4228 and 4232?

Answer:

Least Common Multiple of 4228 and 4232 = 4473224

Step 1: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 4232

4232 = 2 x 2 x 2 x 23 x 23

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

LCM = 4473224 = 2 x 2 x 2 x 7 x 23 x 23 x 151

Step 4: Therefore, the least common multiple of 4228 and 4232 is 4473224.