Least Common Multiple of 219 and 222

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 222 the smallest integer that is 16206 that is divisible by both numbers.

Least Common Multiple (LCM) of 219 and 222 is 16206.

LCM(219,222) = 16206

LCM of 219 and 222

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

LCM of:
and

Least Common Multiple of 219 and 222

LCM of 219 and 222 is 16206

Least common multiple can be found by multiplying the highest exponent prime factors of 219 and 222. First we will calculate the prime factors of 219 and 222.

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 222


2 222
3 111
37 37
1

Prime factors of 222 are 2, 3,37. Prime factorization of 222 in exponential form is:

222 = 21×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 219 and 222.

LCM(219,222) = 21×31×371×731
LCM(219,222) = 16206

Factors of 219

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

1, 3, 73, 219

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Least Common Multiple of 219 and 222 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 222, than apply into the LCM equation.

GCF(219,222) = 3
LCM(219,222) = ( 219 × 222) / 3
LCM(219,222) = 48618 / 3
LCM(219,222) = 16206

Properties of LCM 219 and 222

(i) The LCM of 222 and 219 is associative

LCM of 219 and 222 = LCM of 222 and 219

Related Least Common Multiples of 219

Related Least Common Multiples of 222

Frequently Asked Questions on LCM of 219 and 222

1. What is the LCM of 219 and 222?

Answer: LCM of 219 and 222 is 16206.

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 222?

Answer: Factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222. There are 8 integers that are factors of 222. The greatest factor of 222 is 222.

4. How to Find the LCM of 219 and 222?

Answer:

Least Common Multiple of 219 and 222 = 16206

Step 1: Find the prime factorization of 219

219 = 3 x 73

Step 2: Find the prime factorization of 222

222 = 2 x 3 x 37

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

LCM = 16206 = 2 x 3 x 37 x 73

Step 4: Therefore, the least common multiple of 219 and 222 is 16206.