Least Common Multiple of 226 and 230

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 230 the smallest integer that is 25990 that is divisible by both numbers.

Least Common Multiple (LCM) of 226 and 230 is 25990.

LCM(226,230) = 25990

LCM of 226 and 230

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

LCM of:
and

Least Common Multiple of 226 and 230

LCM of 226 and 230 is 25990

Least common multiple can be found by multiplying the highest exponent prime factors of 226 and 230. First we will calculate the prime factors of 226 and 230.

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 230


2 230
5 115
23 23
1

Prime factors of 230 are 2, 5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 226 and 230.

LCM(226,230) = 21×51×231×1131
LCM(226,230) = 25990

Factors of 226

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

1, 2, 113, 226

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Least Common Multiple of 226 and 230 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 230, than apply into the LCM equation.

GCF(226,230) = 2
LCM(226,230) = ( 226 × 230) / 2
LCM(226,230) = 51980 / 2
LCM(226,230) = 25990

Properties of LCM 226 and 230

(i) The LCM of 230 and 226 is associative

LCM of 226 and 230 = LCM of 230 and 226

Related Least Common Multiples of 226

Related Least Common Multiples of 230

Frequently Asked Questions on LCM of 226 and 230

1. What is the LCM of 226 and 230?

Answer: LCM of 226 and 230 is 25990.

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 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

4. How to Find the LCM of 226 and 230?

Answer:

Least Common Multiple of 226 and 230 = 25990

Step 1: Find the prime factorization of 226

226 = 2 x 113

Step 2: Find the prime factorization of 230

230 = 2 x 5 x 23

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

LCM = 25990 = 2 x 5 x 23 x 113

Step 4: Therefore, the least common multiple of 226 and 230 is 25990.