Least Common Multiple of 226 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 226 and 234 the smallest integer that is 26442 that is divisible by both numbers.

Least Common Multiple (LCM) of 226 and 234 is 26442.

LCM(226,234) = 26442

LCM of 226 and 234

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

LCM of:
and

Least Common Multiple of 226 and 234

LCM of 226 and 234 is 26442

Least common multiple can be found by multiplying the highest exponent prime factors of 226 and 234. First we will calculate the prime factors of 226 and 234.

Prime Factorization of 226


2 226
113 113
1

Prime factors of 226 are 2,113. Prime factorization of 226 in exponential form is:

226 = 21×1131

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 226 and 234.

LCM(226,234) = 21×32×131×1131
LCM(226,234) = 26442

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1, 2, 113, 226

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 226 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 226 and 234, than apply into the LCM equation.

GCF(226,234) = 2
LCM(226,234) = ( 226 × 234) / 2
LCM(226,234) = 52884 / 2
LCM(226,234) = 26442

Properties of LCM 226 and 234

(i) The LCM of 234 and 226 is associative

LCM of 226 and 234 = LCM of 234 and 226

Related Least Common Multiples of 226

Related Least Common Multiples of 234

Frequently Asked Questions on LCM of 226 and 234

1. What is the LCM of 226 and 234?

Answer: LCM of 226 and 234 is 26442.

2. What are the Factors of 226?

Answer: Factors of 226 are 1, 2, 113, 226. There are 4 integers that are factors of 226. The greatest factor of 226 is 226.

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 226 and 234?

Answer:

Least Common Multiple of 226 and 234 = 26442

Step 1: Find the prime factorization of 226

226 = 2 x 113

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 = 26442 = 2 x 3 x 3 x 13 x 113

Step 4: Therefore, the least common multiple of 226 and 234 is 26442.