Least Common Multiple of 2217 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 2217 and 2225 the smallest integer that is 4932825 that is divisible by both numbers.

Least Common Multiple (LCM) of 2217 and 2225 is 4932825.

LCM(2217,2225) = 4932825

LCM of 2217 and 2225

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

LCM of:
and

Least Common Multiple of 2217 and 2225

LCM of 2217 and 2225 is 4932825

Least common multiple can be found by multiplying the highest exponent prime factors of 2217 and 2225. First we will calculate the prime factors of 2217 and 2225.

Prime Factorization of 2217


3 2217
739 739
1

Prime factors of 2217 are 3,739. Prime factorization of 2217 in exponential form is:

2217 = 31×7391

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 2217 and 2225.

LCM(2217,2225) = 31×52×891×7391
LCM(2217,2225) = 4932825

Factors of 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1, 3, 739, 2217

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 2217 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 2217 and 2225, than apply into the LCM equation.

GCF(2217,2225) = 1
LCM(2217,2225) = ( 2217 × 2225) / 1
LCM(2217,2225) = 4932825 / 1
LCM(2217,2225) = 4932825

Properties of LCM 2217 and 2225

(i) The LCM of 2225 and 2217 is associative

LCM of 2217 and 2225 = LCM of 2225 and 2217

Related Least Common Multiples of 2217

Related Least Common Multiples of 2225

Frequently Asked Questions on LCM of 2217 and 2225

1. What is the LCM of 2217 and 2225?

Answer: LCM of 2217 and 2225 is 4932825.

2. What are the Factors of 2217?

Answer: Factors of 2217 are 1, 3, 739, 2217. There are 4 integers that are factors of 2217. The greatest factor of 2217 is 2217.

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 2217 and 2225?

Answer:

Least Common Multiple of 2217 and 2225 = 4932825

Step 1: Find the prime factorization of 2217

2217 = 3 x 739

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 = 4932825 = 3 x 5 x 5 x 89 x 739

Step 4: Therefore, the least common multiple of 2217 and 2225 is 4932825.