Least Common Multiple of 2273 and 2279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2273 and 2279 the smallest integer that is 5180167 that is divisible by both numbers.

Least Common Multiple (LCM) of 2273 and 2279 is 5180167.

LCM(2273,2279) = 5180167

LCM of 2273 and 2279

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

LCM of:
and

Least Common Multiple of 2273 and 2279

LCM of 2273 and 2279 is 5180167

Least common multiple can be found by multiplying the highest exponent prime factors of 2273 and 2279. First we will calculate the prime factors of 2273 and 2279.

Prime Factorization of 2273


2273 2273
1

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

2273 = 22731

Prime Factorization of 2279


43 2279
53 53
1

Prime factors of 2279 are 43,53. Prime factorization of 2279 in exponential form is:

2279 = 431×531

Now multiplying the highest exponent prime factors to calculate the LCM of 2273 and 2279.

LCM(2273,2279) = 431×531×22731
LCM(2273,2279) = 5180167

Factors of 2273

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

1, 2273

Factors of 2279

List of positive integer factors of 2279 that divides 2279 without a remainder.

1, 43, 53, 2279

Least Common Multiple of 2273 and 2279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2273 and 2279, than apply into the LCM equation.

GCF(2273,2279) = 1
LCM(2273,2279) = ( 2273 × 2279) / 1
LCM(2273,2279) = 5180167 / 1
LCM(2273,2279) = 5180167

Properties of LCM 2273 and 2279

(i) The LCM of 2279 and 2273 is associative

LCM of 2273 and 2279 = LCM of 2279 and 2273

Related Least Common Multiples of 2273

Related Least Common Multiples of 2279

Frequently Asked Questions on LCM of 2273 and 2279

1. What is the LCM of 2273 and 2279?

Answer: LCM of 2273 and 2279 is 5180167.

2. 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.

3. What are the Factors of 2279?

Answer: Factors of 2279 are 1, 43, 53, 2279. There are 4 integers that are factors of 2279. The greatest factor of 2279 is 2279.

4. How to Find the LCM of 2273 and 2279?

Answer:

Least Common Multiple of 2273 and 2279 = 5180167

Step 1: Find the prime factorization of 2273

2273 = 2273

Step 2: Find the prime factorization of 2279

2279 = 43 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 = 5180167 = 43 x 53 x 2273

Step 4: Therefore, the least common multiple of 2273 and 2279 is 5180167.