Least Common Multiple of 229 and 235

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 235 the smallest integer that is 53815 that is divisible by both numbers.

Least Common Multiple (LCM) of 229 and 235 is 53815.

LCM(229,235) = 53815

LCM of 229 and 235

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

LCM of:
and

Least Common Multiple of 229 and 235

LCM of 229 and 235 is 53815

Least common multiple can be found by multiplying the highest exponent prime factors of 229 and 235. First we will calculate the prime factors of 229 and 235.

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 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

Now multiplying the highest exponent prime factors to calculate the LCM of 229 and 235.

LCM(229,235) = 51×471×2291
LCM(229,235) = 53815

Factors of 229

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

1, 229

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Least Common Multiple of 229 and 235 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 235, than apply into the LCM equation.

GCF(229,235) = 1
LCM(229,235) = ( 229 × 235) / 1
LCM(229,235) = 53815 / 1
LCM(229,235) = 53815

Properties of LCM 229 and 235

(i) The LCM of 235 and 229 is associative

LCM of 229 and 235 = LCM of 235 and 229

Related Least Common Multiples of 229

Related Least Common Multiples of 235

Frequently Asked Questions on LCM of 229 and 235

1. What is the LCM of 229 and 235?

Answer: LCM of 229 and 235 is 53815.

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 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

4. How to Find the LCM of 229 and 235?

Answer:

Least Common Multiple of 229 and 235 = 53815

Step 1: Find the prime factorization of 229

229 = 229

Step 2: Find the prime factorization of 235

235 = 5 x 47

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

LCM = 53815 = 5 x 47 x 229

Step 4: Therefore, the least common multiple of 229 and 235 is 53815.