Least Common Multiple of 225 and 226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 225 and 226 the smallest integer that is 50850 that is divisible by both numbers.

Least Common Multiple (LCM) of 225 and 226 is 50850.

LCM(225,226) = 50850

LCM of 225 and 226

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

LCM of:
and

Least Common Multiple of 225 and 226

LCM of 225 and 226 is 50850

Least common multiple can be found by multiplying the highest exponent prime factors of 225 and 226. First we will calculate the prime factors of 225 and 226.

Prime Factorization of 225


3 225
3 75
5 25
5 5
1

Prime factors of 225 are 3,5. Prime factorization of 225 in exponential form is:

225 = 32×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 225 and 226.

LCM(225,226) = 21×32×52×1131
LCM(225,226) = 50850

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Factors of 226

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

1, 2, 113, 226

Least Common Multiple of 225 and 226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 225 and 226, than apply into the LCM equation.

GCF(225,226) = 1
LCM(225,226) = ( 225 × 226) / 1
LCM(225,226) = 50850 / 1
LCM(225,226) = 50850

Properties of LCM 225 and 226

(i) The LCM of 226 and 225 is associative

LCM of 225 and 226 = LCM of 226 and 225

Related Least Common Multiples of 225

Related Least Common Multiples of 226

Frequently Asked Questions on LCM of 225 and 226

1. What is the LCM of 225 and 226?

Answer: LCM of 225 and 226 is 50850.

2. What are the Factors of 225?

Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.

3. 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.

4. How to Find the LCM of 225 and 226?

Answer:

Least Common Multiple of 225 and 226 = 50850

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 226

226 = 2 x 113

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

LCM = 50850 = 2 x 3 x 3 x 5 x 5 x 113

Step 4: Therefore, the least common multiple of 225 and 226 is 50850.