Least Common Multiple of 228 and 234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 228 and 234 the smallest integer that is 8892 that is divisible by both numbers.

Least Common Multiple (LCM) of 228 and 234 is 8892.

LCM(228,234) = 8892

LCM of 228 and 234

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

LCM of:
and

Least Common Multiple of 228 and 234

LCM of 228 and 234 is 8892

Least common multiple can be found by multiplying the highest exponent prime factors of 228 and 234. First we will calculate the prime factors of 228 and 234.

Prime Factorization of 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

Prime Factorization of 234


2 234
3 117
3 39
13 13
1

Prime factors of 234 are 2, 3,13. Prime factorization of 234 in exponential form is:

234 = 21×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 228 and 234.

LCM(228,234) = 22×32×131×191
LCM(228,234) = 8892

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Least Common Multiple of 228 and 234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 228 and 234, than apply into the LCM equation.

GCF(228,234) = 6
LCM(228,234) = ( 228 × 234) / 6
LCM(228,234) = 53352 / 6
LCM(228,234) = 8892

Properties of LCM 228 and 234

(i) The LCM of 234 and 228 is associative

LCM of 228 and 234 = LCM of 234 and 228

Related Least Common Multiples of 228

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 228 and 234

1. What is the LCM of 228 and 234?

Answer: LCM of 228 and 234 is 8892.

2. What are the Factors of 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

3. What are the Factors of 234?

Answer: Factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234. There are 12 integers that are factors of 234. The greatest factor of 234 is 234.

4. How to Find the LCM of 228 and 234?

Answer:

Least Common Multiple of 228 and 234 = 8892

Step 1: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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

LCM = 8892 = 2 x 2 x 3 x 3 x 13 x 19

Step 4: Therefore, the least common multiple of 228 and 234 is 8892.