Least Common Multiple of 219 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 219 and 225 the smallest integer that is 16425 that is divisible by both numbers.

Least Common Multiple (LCM) of 219 and 225 is 16425.

LCM(219,225) = 16425

LCM of 219 and 225

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

LCM of:
and

Least Common Multiple of 219 and 225

LCM of 219 and 225 is 16425

Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 225. First we will calculate the prime factors of 219 and 225.

Prime Factorization of 219


3 219
73 73
1

Prime factors of 219 are 3,73. Prime factorization of 219 in exponential form is:

219 = 31×731

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 219 and 225.

LCM(219,225) = 32×52×731
LCM(219,225) = 16425

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1, 3, 73, 219

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 219 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 219 and 225, than apply into the LCM equation.

GCF(219,225) = 3
LCM(219,225) = ( 219 × 225) / 3
LCM(219,225) = 49275 / 3
LCM(219,225) = 16425

Properties of LCM 219 and 225

(i) The LCM of 225 and 219 is associative

LCM of 219 and 225 = LCM of 225 and 219

Related Least Common Multiples of 219

Related Least Common Multiples of 225

Frequently Asked Questions on LCM of 219 and 225

1. What is the LCM of 219 and 225?

Answer: LCM of 219 and 225 is 16425.

2. What are the Factors of 219?

Answer: Factors of 219 are 1, 3, 73, 219. There are 4 integers that are factors of 219. The greatest factor of 219 is 219.

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 219 and 225?

Answer:

Least Common Multiple of 219 and 225 = 16425

Step 1: Find the prime factorization of 219

219 = 3 x 73

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 = 16425 = 3 x 3 x 5 x 5 x 73

Step 4: Therefore, the least common multiple of 219 and 225 is 16425.