Least Common Multiple of 224 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 224 and 226 the smallest integer that is 25312 that is divisible by both numbers.

Least Common Multiple (LCM) of 224 and 226 is 25312.

LCM(224,226) = 25312

LCM of 224 and 226

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

LCM of:
and

Least Common Multiple of 224 and 226

LCM of 224 and 226 is 25312

Least common multiple can be found by multiplying the highest exponent prime factors of 224 and 226. First we will calculate the prime factors of 224 and 226.

Prime Factorization of 224


2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 224 are 2,7. Prime factorization of 224 in exponential form is:

224 = 25×71

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 224 and 226.

LCM(224,226) = 25×71×1131
LCM(224,226) = 25312

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Factors of 226

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

1, 2, 113, 226

Least Common Multiple of 224 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 224 and 226, than apply into the LCM equation.

GCF(224,226) = 2
LCM(224,226) = ( 224 × 226) / 2
LCM(224,226) = 50624 / 2
LCM(224,226) = 25312

Properties of LCM 224 and 226

(i) The LCM of 226 and 224 is associative

LCM of 224 and 226 = LCM of 226 and 224

Related Least Common Multiples of 224

Related Least Common Multiples of 226

Frequently Asked Questions on LCM of 224 and 226

1. What is the LCM of 224 and 226?

Answer: LCM of 224 and 226 is 25312.

2. What are the Factors of 224?

Answer: Factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224. There are 12 integers that are factors of 224. The greatest factor of 224 is 224.

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 224 and 226?

Answer:

Least Common Multiple of 224 and 226 = 25312

Step 1: Find the prime factorization of 224

224 = 2 x 2 x 2 x 2 x 2 x 7

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 = 25312 = 2 x 2 x 2 x 2 x 2 x 7 x 113

Step 4: Therefore, the least common multiple of 224 and 226 is 25312.