Least Common Multiple of 4228 and 4230

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 4230 the smallest integer that is 8942220 that is divisible by both numbers.

Least Common Multiple (LCM) of 4228 and 4230 is 8942220.

LCM(4228,4230) = 8942220

LCM of 4228 and 4230

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

LCM of:
and

Least Common Multiple of 4228 and 4230

LCM of 4228 and 4230 is 8942220

Least common multiple can be found by multiplying the highest exponent prime factors of 4228 and 4230. First we will calculate the prime factors of 4228 and 4230.

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 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2, 3, 5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 4228 and 4230.

LCM(4228,4230) = 22×32×51×71×471×1511
LCM(4228,4230) = 8942220

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 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230

Least Common Multiple of 4228 and 4230 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 4230, than apply into the LCM equation.

GCF(4228,4230) = 2
LCM(4228,4230) = ( 4228 × 4230) / 2
LCM(4228,4230) = 17884440 / 2
LCM(4228,4230) = 8942220

Properties of LCM 4228 and 4230

(i) The LCM of 4230 and 4228 is associative

LCM of 4228 and 4230 = LCM of 4230 and 4228

Related Least Common Multiples of 4228

Related Least Common Multiples of 4230

Frequently Asked Questions on LCM of 4228 and 4230

1. What is the LCM of 4228 and 4230?

Answer: LCM of 4228 and 4230 is 8942220.

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 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

4. How to Find the LCM of 4228 and 4230?

Answer:

Least Common Multiple of 4228 and 4230 = 8942220

Step 1: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

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

LCM = 8942220 = 2 x 2 x 3 x 3 x 5 x 7 x 47 x 151

Step 4: Therefore, the least common multiple of 4228 and 4230 is 8942220.