Least Common Multiple of 220 and 228

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 228 the smallest integer that is 12540 that is divisible by both numbers.

Least Common Multiple (LCM) of 220 and 228 is 12540.

LCM(220,228) = 12540

LCM of 220 and 228

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

LCM of:
and

Least Common Multiple of 220 and 228

LCM of 220 and 228 is 12540

Least common multiple can be found by multiplying the highest exponent prime factors of 220 and 228. First we will calculate the prime factors of 220 and 228.

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 228


2 228
2 114
3 57
19 19
1

Prime factors of 228 are 2, 3,19. Prime factorization of 228 in exponential form is:

228 = 22×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 220 and 228.

LCM(220,228) = 22×31×51×111×191
LCM(220,228) = 12540

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 228

List of positive integer factors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Least Common Multiple of 220 and 228 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 228, than apply into the LCM equation.

GCF(220,228) = 4
LCM(220,228) = ( 220 × 228) / 4
LCM(220,228) = 50160 / 4
LCM(220,228) = 12540

Properties of LCM 220 and 228

(i) The LCM of 228 and 220 is associative

LCM of 220 and 228 = LCM of 228 and 220

Related Least Common Multiples of 220

Related Least Common Multiples of 228

Frequently Asked Questions on LCM of 220 and 228

1. What is the LCM of 220 and 228?

Answer: LCM of 220 and 228 is 12540.

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 228?

Answer: Factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228. There are 12 integers that are factors of 228. The greatest factor of 228 is 228.

4. How to Find the LCM of 220 and 228?

Answer:

Least Common Multiple of 220 and 228 = 12540

Step 1: Find the prime factorization of 220

220 = 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 228

228 = 2 x 2 x 3 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12540 = 2 x 2 x 3 x 5 x 11 x 19

Step 4: Therefore, the least common multiple of 220 and 228 is 12540.