Least Common Multiple of 4228 and 4233

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 4233 the smallest integer that is 17897124 that is divisible by both numbers.

Least Common Multiple (LCM) of 4228 and 4233 is 17897124.

LCM(4228,4233) = 17897124

LCM of 4228 and 4233

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

LCM of:
and

Least Common Multiple of 4228 and 4233

LCM of 4228 and 4233 is 17897124

Least common multiple can be found by multiplying the highest exponent prime factors of 4228 and 4233. First we will calculate the prime factors of 4228 and 4233.

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 4233


3 4233
17 1411
83 83
1

Prime factors of 4233 are 3, 17,83. Prime factorization of 4233 in exponential form is:

4233 = 31×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4228 and 4233.

LCM(4228,4233) = 22×31×71×171×831×1511
LCM(4228,4233) = 17897124

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 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1, 3, 17, 51, 83, 249, 1411, 4233

Least Common Multiple of 4228 and 4233 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 4233, than apply into the LCM equation.

GCF(4228,4233) = 1
LCM(4228,4233) = ( 4228 × 4233) / 1
LCM(4228,4233) = 17897124 / 1
LCM(4228,4233) = 17897124

Properties of LCM 4228 and 4233

(i) The LCM of 4233 and 4228 is associative

LCM of 4228 and 4233 = LCM of 4233 and 4228

Related Least Common Multiples of 4228

Related Least Common Multiples of 4233

Frequently Asked Questions on LCM of 4228 and 4233

1. What is the LCM of 4228 and 4233?

Answer: LCM of 4228 and 4233 is 17897124.

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 4233?

Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.

4. How to Find the LCM of 4228 and 4233?

Answer:

Least Common Multiple of 4228 and 4233 = 17897124

Step 1: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 4233

4233 = 3 x 17 x 83

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

LCM = 17897124 = 2 x 2 x 3 x 7 x 17 x 83 x 151

Step 4: Therefore, the least common multiple of 4228 and 4233 is 17897124.