Least Common Multiple of 229 and 233

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 233 the smallest integer that is 53357 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 233 is 53357.

LCM(229,233) = 53357

LCM of 229 and 233

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

LCM of:
and

Least Common Multiple of 229 and 233

LCM of 229 and 233 is 53357

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 233. First we will calculate the prime factors of 229 and 233.

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 233


233 233
1

Prime factors of 233 are 233. Prime factorization of 233 in exponential form is:

233 = 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 229 and 233.

LCM(229,233) = 2291×2331
LCM(229,233) = 53357

Factors of 229

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

1, 229

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1, 233

Least Common Multiple of 229 and 233 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 233, than apply into the LCM equation.

GCF(229,233) = 1
LCM(229,233) = ( 229 × 233) / 1
LCM(229,233) = 53357 / 1
LCM(229,233) = 53357

Properties of LCM 229 and 233

(i) The LCM of 233 and 229 is associative

LCM of 229 and 233 = LCM of 233 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 233

Frequently Asked Questions on LCM of 229 and 233

1. What is the LCM of 229 and 233?

Answer: LCM of 229 and 233 is 53357.

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 233?

Answer: Factors of 233 are 1, 233. There are 2 integers that are factors of 233. The greatest factor of 233 is 233.

4. How to Find the LCM of 229 and 233?

Answer:

Least Common Multiple of 229 and 233 = 53357

Step 1: Find the prime factorization of 229

229 = 229

Step 2: Find the prime factorization of 233

233 = 233

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

LCM = 53357 = 229 x 233

Step 4: Therefore, the least common multiple of 229 and 233 is 53357.