Least Common Multiple of 220 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 220 and 222 the smallest integer that is 24420 that is divisible by both numbers.

Least Common Multiple (LCM) of 220 and 222 is 24420.

LCM(220,222) = 24420

LCM of 220 and 222

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

LCM of:
and

Least Common Multiple of 220 and 222

LCM of 220 and 222 is 24420

Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 222. First we will calculate the prime factors of 220 and 222.

Prime Factorization of 220


2 220
2 110
5 55
11 11
1

Prime factors of 220 are 2, 5,11. Prime factorization of 220 in exponential form is:

220 = 22×51×111

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 220 and 222.

LCM(220,222) = 22×31×51×111×371
LCM(220,222) = 24420

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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 220 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 220 and 222, than apply into the LCM equation.

GCF(220,222) = 2
LCM(220,222) = ( 220 × 222) / 2
LCM(220,222) = 48840 / 2
LCM(220,222) = 24420

Properties of LCM 220 and 222

(i) The LCM of 222 and 220 is associative

LCM of 220 and 222 = LCM of 222 and 220

Related Least Common Multiples of 220

Related Least Common Multiples of 222

Frequently Asked Questions on LCM of 220 and 222

1. What is the LCM of 220 and 222?

Answer: LCM of 220 and 222 is 24420.

2. What are the Factors of 220?

Answer: Factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. There are 12 integers that are factors of 220. The greatest factor of 220 is 220.

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 220 and 222?

Answer:

Least Common Multiple of 220 and 222 = 24420

Step 1: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

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 = 24420 = 2 x 2 x 3 x 5 x 11 x 37

Step 4: Therefore, the least common multiple of 220 and 222 is 24420.