Least Common Multiple of 2270 and 2272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2270 and 2272 the smallest integer that is 2578720 that is divisible by both numbers.

Least Common Multiple (LCM) of 2270 and 2272 is 2578720.

LCM(2270,2272) = 2578720

LCM of 2270 and 2272

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

LCM of:
and

Least Common Multiple of 2270 and 2272

LCM of 2270 and 2272 is 2578720

Least common multiple can be found by multiplying the highest exponent prime factors of 2270 and 2272. First we will calculate the prime factors of 2270 and 2272.

Prime Factorization of 2270


2 2270
5 1135
227 227
1

Prime factors of 2270 are 2, 5,227. Prime factorization of 2270 in exponential form is:

2270 = 21×51×2271

Prime Factorization of 2272


2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 2272 are 2,71. Prime factorization of 2272 in exponential form is:

2272 = 25×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2270 and 2272.

LCM(2270,2272) = 25×51×711×2271
LCM(2270,2272) = 2578720

Factors of 2270

List of positive integer factors of 2270 that divides 2270 without a remainder.

1, 2, 5, 10, 227, 454, 1135, 2270

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272

Least Common Multiple of 2270 and 2272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2270 and 2272, than apply into the LCM equation.

GCF(2270,2272) = 2
LCM(2270,2272) = ( 2270 × 2272) / 2
LCM(2270,2272) = 5157440 / 2
LCM(2270,2272) = 2578720

Properties of LCM 2270 and 2272

(i) The LCM of 2272 and 2270 is associative

LCM of 2270 and 2272 = LCM of 2272 and 2270

Related Least Common Multiples of 2270

Related Least Common Multiples of 2272

Frequently Asked Questions on LCM of 2270 and 2272

1. What is the LCM of 2270 and 2272?

Answer: LCM of 2270 and 2272 is 2578720.

2. What are the Factors of 2270?

Answer: Factors of 2270 are 1, 2, 5, 10, 227, 454, 1135, 2270. There are 8 integers that are factors of 2270. The greatest factor of 2270 is 2270.

3. What are the Factors of 2272?

Answer: Factors of 2272 are 1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136, 2272. There are 12 integers that are factors of 2272. The greatest factor of 2272 is 2272.

4. How to Find the LCM of 2270 and 2272?

Answer:

Least Common Multiple of 2270 and 2272 = 2578720

Step 1: Find the prime factorization of 2270

2270 = 2 x 5 x 227

Step 2: Find the prime factorization of 2272

2272 = 2 x 2 x 2 x 2 x 2 x 71

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

LCM = 2578720 = 2 x 2 x 2 x 2 x 2 x 5 x 71 x 227

Step 4: Therefore, the least common multiple of 2270 and 2272 is 2578720.