Least Common Multiple of 217 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 217 and 222 the smallest integer that is 48174 that is divisible by both numbers.

Least Common Multiple (LCM) of 217 and 222 is 48174.

LCM(217,222) = 48174

LCM of 217 and 222

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

LCM of:
and

Least Common Multiple of 217 and 222

LCM of 217 and 222 is 48174

Least common multiple can be found by multiplying the highest exponent prime factors of 217 and 222. First we will calculate the prime factors of 217 and 222.

Prime Factorization of 217


7 217
31 31
1

Prime factors of 217 are 7,31. Prime factorization of 217 in exponential form is:

217 = 71×311

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 217 and 222.

LCM(217,222) = 21×31×71×311×371
LCM(217,222) = 48174

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1, 7, 31, 217

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 217 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 217 and 222, than apply into the LCM equation.

GCF(217,222) = 1
LCM(217,222) = ( 217 × 222) / 1
LCM(217,222) = 48174 / 1
LCM(217,222) = 48174

Properties of LCM 217 and 222

(i) The LCM of 222 and 217 is associative

LCM of 217 and 222 = LCM of 222 and 217

Related Least Common Multiples of 217

Related Least Common Multiples of 222

Frequently Asked Questions on LCM of 217 and 222

1. What is the LCM of 217 and 222?

Answer: LCM of 217 and 222 is 48174.

2. What are the Factors of 217?

Answer: Factors of 217 are 1, 7, 31, 217. There are 4 integers that are factors of 217. The greatest factor of 217 is 217.

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 217 and 222?

Answer:

Least Common Multiple of 217 and 222 = 48174

Step 1: Find the prime factorization of 217

217 = 7 x 31

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 = 48174 = 2 x 3 x 7 x 31 x 37

Step 4: Therefore, the least common multiple of 217 and 222 is 48174.