Least Common Multiple of 229 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 229 and 230 the smallest integer that is 52670 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 230 is 52670.

LCM(229,230) = 52670

LCM of 229 and 230

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

LCM of:
and

Least Common Multiple of 229 and 230

LCM of 229 and 230 is 52670

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 230. First we will calculate the prime factors of 229 and 230.

Prime Factorization of 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

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 229 and 230.

LCM(229,230) = 21×51×231×2291
LCM(229,230) = 52670

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1, 229

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 229 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 229 and 230, than apply into the LCM equation.

GCF(229,230) = 1
LCM(229,230) = ( 229 × 230) / 1
LCM(229,230) = 52670 / 1
LCM(229,230) = 52670

Properties of LCM 229 and 230

(i) The LCM of 230 and 229 is associative

LCM of 229 and 230 = LCM of 230 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 229 and 230

1. What is the LCM of 229 and 230?

Answer: LCM of 229 and 230 is 52670.

2. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

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 229 and 230?

Answer:

Least Common Multiple of 229 and 230 = 52670

Step 1: Find the prime factorization of 229

229 = 229

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 = 52670 = 2 x 5 x 23 x 229

Step 4: Therefore, the least common multiple of 229 and 230 is 52670.