Least Common Multiple of 215 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 215 and 222 the smallest integer that is 47730 that is divisible by both numbers.

Least Common Multiple (LCM) of 215 and 222 is 47730.

LCM(215,222) = 47730

LCM of 215 and 222

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

LCM of:
and

Least Common Multiple of 215 and 222

LCM of 215 and 222 is 47730

Least common multiple can be found by multiplying the highest exponent prime factors of 215 and 222. First we will calculate the prime factors of 215 and 222.

Prime Factorization of 215


5 215
43 43
1

Prime factors of 215 are 5,43. Prime factorization of 215 in exponential form is:

215 = 51×431

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 215 and 222.

LCM(215,222) = 21×31×51×371×431
LCM(215,222) = 47730

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 215 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 215 and 222, than apply into the LCM equation.

GCF(215,222) = 1
LCM(215,222) = ( 215 × 222) / 1
LCM(215,222) = 47730 / 1
LCM(215,222) = 47730

Properties of LCM 215 and 222

(i) The LCM of 222 and 215 is associative

LCM of 215 and 222 = LCM of 222 and 215

Related Least Common Multiples of 215

Related Least Common Multiples of 222

Frequently Asked Questions on LCM of 215 and 222

1. What is the LCM of 215 and 222?

Answer: LCM of 215 and 222 is 47730.

2. What are the Factors of 215?

Answer: Factors of 215 are 1, 5, 43, 215. There are 4 integers that are factors of 215. The greatest factor of 215 is 215.

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 215 and 222?

Answer:

Least Common Multiple of 215 and 222 = 47730

Step 1: Find the prime factorization of 215

215 = 5 x 43

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 = 47730 = 2 x 3 x 5 x 37 x 43

Step 4: Therefore, the least common multiple of 215 and 222 is 47730.