Least Common Multiple of 2270 and 2273

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 2273 the smallest integer that is 5159710 that is divisible by both numbers.

Least Common Multiple (LCM) of 2270 and 2273 is 5159710.

LCM(2270,2273) = 5159710

LCM of 2270 and 2273

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

LCM of:
and

Least Common Multiple of 2270 and 2273

LCM of 2270 and 2273 is 5159710

Least common multiple can be found by multiplying the highest exponent prime factors of 2270 and 2273. First we will calculate the prime factors of 2270 and 2273.

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 2273


2273 2273
1

Prime factors of 2273 are 2273. Prime factorization of 2273 in exponential form is:

2273 = 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 2270 and 2273.

LCM(2270,2273) = 21×51×2271×22731
LCM(2270,2273) = 5159710

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 2273

List of positive integer factors of 2273 that divides 2273 without a remainder.

1, 2273

Least Common Multiple of 2270 and 2273 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 2273, than apply into the LCM equation.

GCF(2270,2273) = 1
LCM(2270,2273) = ( 2270 × 2273) / 1
LCM(2270,2273) = 5159710 / 1
LCM(2270,2273) = 5159710

Properties of LCM 2270 and 2273

(i) The LCM of 2273 and 2270 is associative

LCM of 2270 and 2273 = LCM of 2273 and 2270

Related Least Common Multiples of 2270

Related Least Common Multiples of 2273

Frequently Asked Questions on LCM of 2270 and 2273

1. What is the LCM of 2270 and 2273?

Answer: LCM of 2270 and 2273 is 5159710.

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 2273?

Answer: Factors of 2273 are 1, 2273. There are 2 integers that are factors of 2273. The greatest factor of 2273 is 2273.

4. How to Find the LCM of 2270 and 2273?

Answer:

Least Common Multiple of 2270 and 2273 = 5159710

Step 1: Find the prime factorization of 2270

2270 = 2 x 5 x 227

Step 2: Find the prime factorization of 2273

2273 = 2273

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

LCM = 5159710 = 2 x 5 x 227 x 2273

Step 4: Therefore, the least common multiple of 2270 and 2273 is 5159710.