Least Common Multiple of 2218 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 2218 and 2225 the smallest integer that is 4935050 that is divisible by both numbers.

Least Common Multiple (LCM) of 2218 and 2225 is 4935050.

LCM(2218,2225) = 4935050

LCM of 2218 and 2225

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

LCM of:
and

Least Common Multiple of 2218 and 2225

LCM of 2218 and 2225 is 4935050

Least common multiple can be found by multiplying the highest exponent prime factors of 2218 and 2225. First we will calculate the prime factors of 2218 and 2225.

Prime Factorization of 2218


2 2218
1109 1109
1

Prime factors of 2218 are 2,1109. Prime factorization of 2218 in exponential form is:

2218 = 21×11091

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 2218 and 2225.

LCM(2218,2225) = 21×52×891×11091
LCM(2218,2225) = 4935050

Factors of 2218

List of positive integer factors of 2218 that divides 2218 without a remainder.

1, 2, 1109, 2218

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 2218 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 2218 and 2225, than apply into the LCM equation.

GCF(2218,2225) = 1
LCM(2218,2225) = ( 2218 × 2225) / 1
LCM(2218,2225) = 4935050 / 1
LCM(2218,2225) = 4935050

Properties of LCM 2218 and 2225

(i) The LCM of 2225 and 2218 is associative

LCM of 2218 and 2225 = LCM of 2225 and 2218

Related Least Common Multiples of 2218

Related Least Common Multiples of 2225

Frequently Asked Questions on LCM of 2218 and 2225

1. What is the LCM of 2218 and 2225?

Answer: LCM of 2218 and 2225 is 4935050.

2. What are the Factors of 2218?

Answer: Factors of 2218 are 1, 2, 1109, 2218. There are 4 integers that are factors of 2218. The greatest factor of 2218 is 2218.

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 2218 and 2225?

Answer:

Least Common Multiple of 2218 and 2225 = 4935050

Step 1: Find the prime factorization of 2218

2218 = 2 x 1109

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 = 4935050 = 2 x 5 x 5 x 89 x 1109

Step 4: Therefore, the least common multiple of 2218 and 2225 is 4935050.