Least Common Multiple of 2220 and 2226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2220 and 2226 the smallest integer that is 823620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2220 and 2226 is 823620.

LCM(2220,2226) = 823620

LCM of 2220 and 2226

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

LCM of:
and

Least Common Multiple of 2220 and 2226

LCM of 2220 and 2226 is 823620

Least common multiple can be found by multiplying the highest exponent prime factors of 2220 and 2226. First we will calculate the prime factors of 2220 and 2226.

Prime Factorization of 2220


2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 2220 are 2, 3, 5,37. Prime factorization of 2220 in exponential form is:

2220 = 22×31×51×371

Prime Factorization of 2226


2 2226
3 1113
7 371
53 53
1

Prime factors of 2226 are 2, 3, 7,53. Prime factorization of 2226 in exponential form is:

2226 = 21×31×71×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2220 and 2226.

LCM(2220,2226) = 22×31×51×71×371×531
LCM(2220,2226) = 823620

Factors of 2220

List of positive integer factors of 2220 that divides 2220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220

Factors of 2226

List of positive integer factors of 2226 that divides 2226 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226

Least Common Multiple of 2220 and 2226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2220 and 2226, than apply into the LCM equation.

GCF(2220,2226) = 6
LCM(2220,2226) = ( 2220 × 2226) / 6
LCM(2220,2226) = 4941720 / 6
LCM(2220,2226) = 823620

Properties of LCM 2220 and 2226

(i) The LCM of 2226 and 2220 is associative

LCM of 2220 and 2226 = LCM of 2226 and 2220

Related Least Common Multiples of 2220

Related Least Common Multiples of 2226

Frequently Asked Questions on LCM of 2220 and 2226

1. What is the LCM of 2220 and 2226?

Answer: LCM of 2220 and 2226 is 823620.

2. What are the Factors of 2220?

Answer: Factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220. There are 24 integers that are factors of 2220. The greatest factor of 2220 is 2220.

3. What are the Factors of 2226?

Answer: Factors of 2226 are 1, 2, 3, 6, 7, 14, 21, 42, 53, 106, 159, 318, 371, 742, 1113, 2226. There are 16 integers that are factors of 2226. The greatest factor of 2226 is 2226.

4. How to Find the LCM of 2220 and 2226?

Answer:

Least Common Multiple of 2220 and 2226 = 823620

Step 1: Find the prime factorization of 2220

2220 = 2 x 2 x 3 x 5 x 37

Step 2: Find the prime factorization of 2226

2226 = 2 x 3 x 7 x 53

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

LCM = 823620 = 2 x 2 x 3 x 5 x 7 x 37 x 53

Step 4: Therefore, the least common multiple of 2220 and 2226 is 823620.