Least Common Multiple of 218 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 218 and 222 the smallest integer that is 24198 that is divisible by both numbers.

Least Common Multiple (LCM) of 218 and 222 is 24198.

LCM(218,222) = 24198

LCM of 218 and 222

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

LCM of:
and

Least Common Multiple of 218 and 222

LCM of 218 and 222 is 24198

Least common multiple can be found by multiplying the highest exponent prime factors of 218 and 222. First we will calculate the prime factors of 218 and 222.

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 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 218 and 222.

LCM(218,222) = 21×31×371×1091
LCM(218,222) = 24198

Factors of 218

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

1, 2, 109, 218

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 218 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 218 and 222, than apply into the LCM equation.

GCF(218,222) = 2
LCM(218,222) = ( 218 × 222) / 2
LCM(218,222) = 48396 / 2
LCM(218,222) = 24198

Properties of LCM 218 and 222

(i) The LCM of 222 and 218 is associative

LCM of 218 and 222 = LCM of 222 and 218

Related Least Common Multiples of 218

Related Least Common Multiples of 222

Frequently Asked Questions on LCM of 218 and 222

1. What is the LCM of 218 and 222?

Answer: LCM of 218 and 222 is 24198.

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 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 218 and 222?

Answer:

Least Common Multiple of 218 and 222 = 24198

Step 1: Find the prime factorization of 218

218 = 2 x 109

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 = 24198 = 2 x 3 x 37 x 109

Step 4: Therefore, the least common multiple of 218 and 222 is 24198.