Least Common Multiple of 2272 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 2272 and 2273 the smallest integer that is 5164256 that is divisible by both numbers.

Least Common Multiple (LCM) of 2272 and 2273 is 5164256.

LCM(2272,2273) = 5164256

LCM of 2272 and 2273

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

LCM of:
and

Least Common Multiple of 2272 and 2273

LCM of 2272 and 2273 is 5164256

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2273. First we will calculate the prime factors of 2272 and 2273.

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

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 2272 and 2273.

LCM(2272,2273) = 25×711×22731
LCM(2272,2273) = 5164256

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

Factors of 2273

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

1, 2273

Least Common Multiple of 2272 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 2272 and 2273, than apply into the LCM equation.

GCF(2272,2273) = 1
LCM(2272,2273) = ( 2272 × 2273) / 1
LCM(2272,2273) = 5164256 / 1
LCM(2272,2273) = 5164256

Properties of LCM 2272 and 2273

(i) The LCM of 2273 and 2272 is associative

LCM of 2272 and 2273 = LCM of 2273 and 2272

Related Least Common Multiples of 2272

Related Least Common Multiples of 2273

Frequently Asked Questions on LCM of 2272 and 2273

1. What is the LCM of 2272 and 2273?

Answer: LCM of 2272 and 2273 is 5164256.

2. 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.

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 2272 and 2273?

Answer:

Least Common Multiple of 2272 and 2273 = 5164256

Step 1: Find the prime factorization of 2272

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

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 = 5164256 = 2 x 2 x 2 x 2 x 2 x 71 x 2273

Step 4: Therefore, the least common multiple of 2272 and 2273 is 5164256.