Least Common Multiple of 4228 and 4234

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 4234 the smallest integer that is 8950676 that is divisible by both numbers.

Least Common Multiple (LCM) of 4228 and 4234 is 8950676.

LCM(4228,4234) = 8950676

LCM of 4228 and 4234

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

LCM of:
and

Least Common Multiple of 4228 and 4234

LCM of 4228 and 4234 is 8950676

Least common multiple can be found by multiplying the highest exponent prime factors of 4228 and 4234. First we will calculate the prime factors of 4228 and 4234.

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 4234


2 4234
29 2117
73 73
1

Prime factors of 4234 are 2, 29,73. Prime factorization of 4234 in exponential form is:

4234 = 21×291×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4228 and 4234.

LCM(4228,4234) = 22×71×291×731×1511
LCM(4228,4234) = 8950676

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 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1, 2, 29, 58, 73, 146, 2117, 4234

Least Common Multiple of 4228 and 4234 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 4234, than apply into the LCM equation.

GCF(4228,4234) = 2
LCM(4228,4234) = ( 4228 × 4234) / 2
LCM(4228,4234) = 17901352 / 2
LCM(4228,4234) = 8950676

Properties of LCM 4228 and 4234

(i) The LCM of 4234 and 4228 is associative

LCM of 4228 and 4234 = LCM of 4234 and 4228

Related Least Common Multiples of 4228

Related Least Common Multiples of 4234

Frequently Asked Questions on LCM of 4228 and 4234

1. What is the LCM of 4228 and 4234?

Answer: LCM of 4228 and 4234 is 8950676.

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 4234?

Answer: Factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234. There are 8 integers that are factors of 4234. The greatest factor of 4234 is 4234.

4. How to Find the LCM of 4228 and 4234?

Answer:

Least Common Multiple of 4228 and 4234 = 8950676

Step 1: Find the prime factorization of 4228

4228 = 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 4234

4234 = 2 x 29 x 73

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

LCM = 8950676 = 2 x 2 x 7 x 29 x 73 x 151

Step 4: Therefore, the least common multiple of 4228 and 4234 is 8950676.