Least Common Multiple of 221 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 221 and 222 the smallest integer that is 49062 that is divisible by both numbers.

Least Common Multiple (LCM) of 221 and 222 is 49062.

LCM(221,222) = 49062

LCM of 221 and 222

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

LCM of:
and

Least Common Multiple of 221 and 222

LCM of 221 and 222 is 49062

Least common multiple can be found by multiplying the highest exponent prime factors of 221 and 222. First we will calculate the prime factors of 221 and 222.

Prime Factorization of 221


13 221
17 17
1

Prime factors of 221 are 13,17. Prime factorization of 221 in exponential form is:

221 = 131×171

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 221 and 222.

LCM(221,222) = 21×31×131×171×371
LCM(221,222) = 49062

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 221 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 221 and 222, than apply into the LCM equation.

GCF(221,222) = 1
LCM(221,222) = ( 221 × 222) / 1
LCM(221,222) = 49062 / 1
LCM(221,222) = 49062

Properties of LCM 221 and 222

(i) The LCM of 222 and 221 is associative

LCM of 221 and 222 = LCM of 222 and 221

Related Least Common Multiples of 221

Related Least Common Multiples of 222

Frequently Asked Questions on LCM of 221 and 222

1. What is the LCM of 221 and 222?

Answer: LCM of 221 and 222 is 49062.

2. What are the Factors of 221?

Answer: Factors of 221 are 1, 13, 17, 221. There are 4 integers that are factors of 221. The greatest factor of 221 is 221.

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 221 and 222?

Answer:

Least Common Multiple of 221 and 222 = 49062

Step 1: Find the prime factorization of 221

221 = 13 x 17

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 = 49062 = 2 x 3 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 221 and 222 is 49062.