Least Common Multiple of 221 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 221 and 226 the smallest integer that is 49946 that is divisible by both numbers.

Least Common Multiple (LCM) of 221 and 226 is 49946.

LCM(221,226) = 49946

LCM of 221 and 226

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

LCM of:
and

Least Common Multiple of 221 and 226

LCM of 221 and 226 is 49946

Least common multiple can be found by multiplying the highest exponent prime factors of 221 and 226. First we will calculate the prime factors of 221 and 226.

Prime Factorization of 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

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 221 and 226.

LCM(221,226) = 21×131×171×1131
LCM(221,226) = 49946

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Factors of 226

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

1, 2, 113, 226

Least Common Multiple of 221 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 221 and 226, than apply into the LCM equation.

GCF(221,226) = 1
LCM(221,226) = ( 221 × 226) / 1
LCM(221,226) = 49946 / 1
LCM(221,226) = 49946

Properties of LCM 221 and 226

(i) The LCM of 226 and 221 is associative

LCM of 221 and 226 = LCM of 226 and 221

Related Least Common Multiples of 221

Related Least Common Multiples of 226

Frequently Asked Questions on LCM of 221 and 226

1. What is the LCM of 221 and 226?

Answer: LCM of 221 and 226 is 49946.

2. What are the Factors of 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

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 221 and 226?

Answer:

Least Common Multiple of 221 and 226 = 49946

Step 1: Find the prime factorization of 221

221 = 13 x 17

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 = 49946 = 2 x 13 x 17 x 113

Step 4: Therefore, the least common multiple of 221 and 226 is 49946.