Least Common Multiple of 2221 and 2225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2221 and 2225 the smallest integer that is 4941725 that is divisible by both numbers.

Least Common Multiple (LCM) of 2221 and 2225 is 4941725.

LCM(2221,2225) = 4941725

LCM of 2221 and 2225

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

LCM of:
and

Least Common Multiple of 2221 and 2225

LCM of 2221 and 2225 is 4941725

Least common multiple can be found by multiplying the highest exponent prime factors of 2221 and 2225. First we will calculate the prime factors of 2221 and 2225.

Prime Factorization of 2221


2221 2221
1

Prime factors of 2221 are 2221. Prime factorization of 2221 in exponential form is:

2221 = 22211

Prime Factorization of 2225


5 2225
5 445
89 89
1

Prime factors of 2225 are 5,89. Prime factorization of 2225 in exponential form is:

2225 = 52×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2221 and 2225.

LCM(2221,2225) = 52×891×22211
LCM(2221,2225) = 4941725

Factors of 2221

List of positive integer factors of 2221 that divides 2221 without a remainder.

1, 2221

Factors of 2225

List of positive integer factors of 2225 that divides 2225 without a remainder.

1, 5, 25, 89, 445, 2225

Least Common Multiple of 2221 and 2225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2221 and 2225, than apply into the LCM equation.

GCF(2221,2225) = 1
LCM(2221,2225) = ( 2221 × 2225) / 1
LCM(2221,2225) = 4941725 / 1
LCM(2221,2225) = 4941725

Properties of LCM 2221 and 2225

(i) The LCM of 2225 and 2221 is associative

LCM of 2221 and 2225 = LCM of 2225 and 2221

Related Least Common Multiples of 2221

Related Least Common Multiples of 2225

Frequently Asked Questions on LCM of 2221 and 2225

1. What is the LCM of 2221 and 2225?

Answer: LCM of 2221 and 2225 is 4941725.

2. What are the Factors of 2221?

Answer: Factors of 2221 are 1, 2221. There are 2 integers that are factors of 2221. The greatest factor of 2221 is 2221.

3. What are the Factors of 2225?

Answer: Factors of 2225 are 1, 5, 25, 89, 445, 2225. There are 6 integers that are factors of 2225. The greatest factor of 2225 is 2225.

4. How to Find the LCM of 2221 and 2225?

Answer:

Least Common Multiple of 2221 and 2225 = 4941725

Step 1: Find the prime factorization of 2221

2221 = 2221

Step 2: Find the prime factorization of 2225

2225 = 5 x 5 x 89

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

LCM = 4941725 = 5 x 5 x 89 x 2221

Step 4: Therefore, the least common multiple of 2221 and 2225 is 4941725.