Least Common Multiple of 222 and 230

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 230 the smallest integer that is 25530 that is divisible by both numbers.

Least Common Multiple (LCM) of 222 and 230 is 25530.

LCM(222,230) = 25530

LCM of 222 and 230

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

LCM of:
and

Least Common Multiple of 222 and 230

LCM of 222 and 230 is 25530

Least common multiple can be found by multiplying the highest exponent prime factors of 222 and 230. First we will calculate the prime factors of 222 and 230.

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 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 222 and 230.

LCM(222,230) = 21×31×51×231×371
LCM(222,230) = 25530

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 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Least Common Multiple of 222 and 230 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 230, than apply into the LCM equation.

GCF(222,230) = 2
LCM(222,230) = ( 222 × 230) / 2
LCM(222,230) = 51060 / 2
LCM(222,230) = 25530

Properties of LCM 222 and 230

(i) The LCM of 230 and 222 is associative

LCM of 222 and 230 = LCM of 230 and 222

Related Least Common Multiples of 222

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 222 and 230

1. What is the LCM of 222 and 230?

Answer: LCM of 222 and 230 is 25530.

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 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

4. How to Find the LCM of 222 and 230?

Answer:

Least Common Multiple of 222 and 230 = 25530

Step 1: Find the prime factorization of 222

222 = 2 x 3 x 37

Step 2: Find the prime factorization of 230

230 = 2 x 5 x 23

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

LCM = 25530 = 2 x 3 x 5 x 23 x 37

Step 4: Therefore, the least common multiple of 222 and 230 is 25530.