Least Common Multiple of 226 and 228

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 228 the smallest integer that is 25764 that is divisible by both numbers.

Least Common Multiple (LCM) of 226 and 228 is 25764.

LCM(226,228) = 25764

LCM of 226 and 228

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

LCM of:
and

Least Common Multiple of 226 and 228

LCM of 226 and 228 is 25764

Least common multiple can be found by multiplying the highest exponent prime factors of 226 and 228. First we will calculate the prime factors of 226 and 228.

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 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 226 and 228.

LCM(226,228) = 22×31×191×1131
LCM(226,228) = 25764

Factors of 226

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

1, 2, 113, 226

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Least Common Multiple of 226 and 228 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 228, than apply into the LCM equation.

GCF(226,228) = 2
LCM(226,228) = ( 226 × 228) / 2
LCM(226,228) = 51528 / 2
LCM(226,228) = 25764

Properties of LCM 226 and 228

(i) The LCM of 228 and 226 is associative

LCM of 226 and 228 = LCM of 228 and 226

Related Least Common Multiples of 226

Related Least Common Multiples of 228

Frequently Asked Questions on LCM of 226 and 228

1. What is the LCM of 226 and 228?

Answer: LCM of 226 and 228 is 25764.

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 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

4. How to Find the LCM of 226 and 228?

Answer:

Least Common Multiple of 226 and 228 = 25764

Step 1: Find the prime factorization of 226

226 = 2 x 113

Step 2: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

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

LCM = 25764 = 2 x 2 x 3 x 19 x 113

Step 4: Therefore, the least common multiple of 226 and 228 is 25764.