Least Common Multiple of 226 and 232

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 232 the smallest integer that is 26216 that is divisible by both numbers.

Least Common Multiple (LCM) of 226 and 232 is 26216.

LCM(226,232) = 26216

LCM of 226 and 232

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

LCM of:
and

Least Common Multiple of 226 and 232

LCM of 226 and 232 is 26216

Least common multiple can be found by multiplying the highest exponent prime factors of 226 and 232. First we will calculate the prime factors of 226 and 232.

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 232


2 232
2 116
2 58
29 29
1

Prime factors of 232 are 2,29. Prime factorization of 232 in exponential form is:

232 = 23×291

Now multiplying the highest exponent prime factors to calculate the LCM of 226 and 232.

LCM(226,232) = 23×291×1131
LCM(226,232) = 26216

Factors of 226

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

1, 2, 113, 226

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Least Common Multiple of 226 and 232 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 232, than apply into the LCM equation.

GCF(226,232) = 2
LCM(226,232) = ( 226 × 232) / 2
LCM(226,232) = 52432 / 2
LCM(226,232) = 26216

Properties of LCM 226 and 232

(i) The LCM of 232 and 226 is associative

LCM of 226 and 232 = LCM of 232 and 226

Related Least Common Multiples of 226

Related Least Common Multiples of 232

Frequently Asked Questions on LCM of 226 and 232

1. What is the LCM of 226 and 232?

Answer: LCM of 226 and 232 is 26216.

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 232?

Answer: Factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232. There are 8 integers that are factors of 232. The greatest factor of 232 is 232.

4. How to Find the LCM of 226 and 232?

Answer:

Least Common Multiple of 226 and 232 = 26216

Step 1: Find the prime factorization of 226

226 = 2 x 113

Step 2: Find the prime factorization of 232

232 = 2 x 2 x 2 x 29

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

LCM = 26216 = 2 x 2 x 2 x 29 x 113

Step 4: Therefore, the least common multiple of 226 and 232 is 26216.