Least Common Multiple of 234 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 234 and 235 the smallest integer that is 54990 that is divisible by both numbers.

Least Common Multiple (LCM) of 234 and 235 is 54990.

LCM(234,235) = 54990

LCM of 234 and 235

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

LCM of:
and

Least Common Multiple of 234 and 235

LCM of 234 and 235 is 54990

Least common multiple can be found by multiplying the highest exponent prime factors of 234 and 235. First we will calculate the prime factors of 234 and 235.

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

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 234 and 235.

LCM(234,235) = 21×32×51×131×471
LCM(234,235) = 54990

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

Factors of 235

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

1, 5, 47, 235

Least Common Multiple of 234 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 234 and 235, than apply into the LCM equation.

GCF(234,235) = 1
LCM(234,235) = ( 234 × 235) / 1
LCM(234,235) = 54990 / 1
LCM(234,235) = 54990

Properties of LCM 234 and 235

(i) The LCM of 235 and 234 is associative

LCM of 234 and 235 = LCM of 235 and 234

Related Least Common Multiples of 234

Related Least Common Multiples of 235

Frequently Asked Questions on LCM of 234 and 235

1. What is the LCM of 234 and 235?

Answer: LCM of 234 and 235 is 54990.

2. 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.

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 234 and 235?

Answer:

Least Common Multiple of 234 and 235 = 54990

Step 1: Find the prime factorization of 234

234 = 2 x 3 x 3 x 13

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 = 54990 = 2 x 3 x 3 x 5 x 13 x 47

Step 4: Therefore, the least common multiple of 234 and 235 is 54990.