Least Common Multiple of 2268 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 2268 and 2273 the smallest integer that is 5155164 that is divisible by both numbers.

Least Common Multiple (LCM) of 2268 and 2273 is 5155164.

LCM(2268,2273) = 5155164

LCM of 2268 and 2273

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

LCM of:
and

Least Common Multiple of 2268 and 2273

LCM of 2268 and 2273 is 5155164

Least common multiple can be found by multiplying the highest exponent prime factors of 2268 and 2273. First we will calculate the prime factors of 2268 and 2273.

Prime Factorization of 2268


2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 2268 are 2, 3,7. Prime factorization of 2268 in exponential form is:

2268 = 22×34×71

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 2268 and 2273.

LCM(2268,2273) = 22×34×71×22731
LCM(2268,2273) = 5155164

Factors of 2268

List of positive integer factors of 2268 that divides 2268 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268

Factors of 2273

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

1, 2273

Least Common Multiple of 2268 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 2268 and 2273, than apply into the LCM equation.

GCF(2268,2273) = 1
LCM(2268,2273) = ( 2268 × 2273) / 1
LCM(2268,2273) = 5155164 / 1
LCM(2268,2273) = 5155164

Properties of LCM 2268 and 2273

(i) The LCM of 2273 and 2268 is associative

LCM of 2268 and 2273 = LCM of 2273 and 2268

Related Least Common Multiples of 2268

Related Least Common Multiples of 2273

Frequently Asked Questions on LCM of 2268 and 2273

1. What is the LCM of 2268 and 2273?

Answer: LCM of 2268 and 2273 is 5155164.

2. What are the Factors of 2268?

Answer: Factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268. There are 30 integers that are factors of 2268. The greatest factor of 2268 is 2268.

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 2268 and 2273?

Answer:

Least Common Multiple of 2268 and 2273 = 5155164

Step 1: Find the prime factorization of 2268

2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7

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 = 5155164 = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 2273

Step 4: Therefore, the least common multiple of 2268 and 2273 is 5155164.