Least Common Multiple of 222 and 228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 222 and 228 the smallest integer that is 8436 that is divisible by both numbers.

Least Common Multiple (LCM) of 222 and 228 is 8436.

LCM(222,228) = 8436

LCM of 222 and 228

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

LCM of:
and

Least Common Multiple of 222 and 228

LCM of 222 and 228 is 8436

Least common multiple can be found by multiplying the highest exponent prime factors of 222 and 228. First we will calculate the prime factors of 222 and 228.

Prime Factorization of 222


2 222
3 111
37 37
1

Prime factors of 222 are 2, 3,37. Prime factorization of 222 in exponential form is:

222 = 21×31×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 222 and 228.

LCM(222,228) = 22×31×191×371
LCM(222,228) = 8436

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

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

Least Common Multiple of 222 and 228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 222 and 228, than apply into the LCM equation.

GCF(222,228) = 6
LCM(222,228) = ( 222 × 228) / 6
LCM(222,228) = 50616 / 6
LCM(222,228) = 8436

Properties of LCM 222 and 228

(i) The LCM of 228 and 222 is associative

LCM of 222 and 228 = LCM of 228 and 222

Related Least Common Multiples of 222

Related Least Common Multiples of 228

Frequently Asked Questions on LCM of 222 and 228

1. What is the LCM of 222 and 228?

Answer: LCM of 222 and 228 is 8436.

2. What are the Factors of 222?

Answer: Factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222. There are 8 integers that are factors of 222. The greatest factor of 222 is 222.

3. 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.

4. How to Find the LCM of 222 and 228?

Answer:

Least Common Multiple of 222 and 228 = 8436

Step 1: Find the prime factorization of 222

222 = 2 x 3 x 37

Step 2: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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

LCM = 8436 = 2 x 2 x 3 x 19 x 37

Step 4: Therefore, the least common multiple of 222 and 228 is 8436.