Least Common Multiple of 229 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 229 and 234 the smallest integer that is 53586 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 234 is 53586.

LCM(229,234) = 53586

LCM of 229 and 234

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

LCM of:
and

Least Common Multiple of 229 and 234

LCM of 229 and 234 is 53586

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 234. First we will calculate the prime factors of 229 and 234.

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 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 229 and 234.

LCM(229,234) = 21×32×131×2291
LCM(229,234) = 53586

Factors of 229

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

1, 229

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 229 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 229 and 234, than apply into the LCM equation.

GCF(229,234) = 1
LCM(229,234) = ( 229 × 234) / 1
LCM(229,234) = 53586 / 1
LCM(229,234) = 53586

Properties of LCM 229 and 234

(i) The LCM of 234 and 229 is associative

LCM of 229 and 234 = LCM of 234 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 229 and 234

1. What is the LCM of 229 and 234?

Answer: LCM of 229 and 234 is 53586.

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 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 229 and 234?

Answer:

Least Common Multiple of 229 and 234 = 53586

Step 1: Find the prime factorization of 229

229 = 229

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 = 53586 = 2 x 3 x 3 x 13 x 229

Step 4: Therefore, the least common multiple of 229 and 234 is 53586.