Least Common Multiple of 218 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 218 and 225 the smallest integer that is 49050 that is divisible by both numbers.

Least Common Multiple (LCM) of 218 and 225 is 49050.

LCM(218,225) = 49050

LCM of 218 and 225

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

LCM of:
and

Least Common Multiple of 218 and 225

LCM of 218 and 225 is 49050

Least common multiple can be found by multiplying the highest exponent prime factors of 218 and 225. First we will calculate the prime factors of 218 and 225.

Prime Factorization of 218


2 218
109 109
1

Prime factors of 218 are 2,109. Prime factorization of 218 in exponential form is:

218 = 21×1091

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 218 and 225.

LCM(218,225) = 21×32×52×1091
LCM(218,225) = 49050

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 218 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 218 and 225, than apply into the LCM equation.

GCF(218,225) = 1
LCM(218,225) = ( 218 × 225) / 1
LCM(218,225) = 49050 / 1
LCM(218,225) = 49050

Properties of LCM 218 and 225

(i) The LCM of 225 and 218 is associative

LCM of 218 and 225 = LCM of 225 and 218

Related Least Common Multiples of 218

Related Least Common Multiples of 225

Frequently Asked Questions on LCM of 218 and 225

1. What is the LCM of 218 and 225?

Answer: LCM of 218 and 225 is 49050.

2. What are the Factors of 218?

Answer: Factors of 218 are 1, 2, 109, 218. There are 4 integers that are factors of 218. The greatest factor of 218 is 218.

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 218 and 225?

Answer:

Least Common Multiple of 218 and 225 = 49050

Step 1: Find the prime factorization of 218

218 = 2 x 109

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 = 49050 = 2 x 3 x 3 x 5 x 5 x 109

Step 4: Therefore, the least common multiple of 218 and 225 is 49050.