Least Common Multiple of 220 and 225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 220 and 225 the smallest integer that is 9900 that is divisible by both numbers.

Least Common Multiple (LCM) of 220 and 225 is 9900.

LCM(220,225) = 9900

LCM of 220 and 225

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

LCM of:
and

Least Common Multiple of 220 and 225

LCM of 220 and 225 is 9900

Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 225. First we will calculate the prime factors of 220 and 225.

Prime Factorization of 220


2 220
2 110
5 55
11 11
1

Prime factors of 220 are 2, 5,11. Prime factorization of 220 in exponential form is:

220 = 22×51×111

Prime Factorization of 225


3 225
3 75
5 25
5 5
1

Prime factors of 225 are 3,5. Prime factorization of 225 in exponential form is:

225 = 32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 220 and 225.

LCM(220,225) = 22×32×52×111
LCM(220,225) = 9900

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Least Common Multiple of 220 and 225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 220 and 225, than apply into the LCM equation.

GCF(220,225) = 5
LCM(220,225) = ( 220 × 225) / 5
LCM(220,225) = 49500 / 5
LCM(220,225) = 9900

Properties of LCM 220 and 225

(i) The LCM of 225 and 220 is associative

LCM of 220 and 225 = LCM of 225 and 220

Related Least Common Multiples of 220

Related Least Common Multiples of 225

Frequently Asked Questions on LCM of 220 and 225

1. What is the LCM of 220 and 225?

Answer: LCM of 220 and 225 is 9900.

2. What are the Factors of 220?

Answer: Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. There are 12 integers that are factors of 220. The greatest factor of 220 is 220.

3. What are the Factors of 225?

Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.

4. How to Find the LCM of 220 and 225?

Answer:

Least Common Multiple of 220 and 225 = 9900

Step 1: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

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

LCM = 9900 = 2 x 2 x 3 x 3 x 5 x 5 x 11

Step 4: Therefore, the least common multiple of 220 and 225 is 9900.