Least Common Multiple of 2272 and 2276

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 2276 the smallest integer that is 1292768 that is divisible by both numbers.

Least Common Multiple (LCM) of 2272 and 2276 is 1292768.

LCM(2272,2276) = 1292768

LCM of 2272 and 2276

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

LCM of:
and

Least Common Multiple of 2272 and 2276

LCM of 2272 and 2276 is 1292768

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2276. First we will calculate the prime factors of 2272 and 2276.

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 2276


2 2276
2 1138
569 569
1

Prime factors of 2276 are 2,569. Prime factorization of 2276 in exponential form is:

2276 = 22×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 2272 and 2276.

LCM(2272,2276) = 25×711×5691
LCM(2272,2276) = 1292768

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 2276

List of positive integer factors of 2276 that divides 2276 without a remainder.

1, 2, 4, 569, 1138, 2276

Least Common Multiple of 2272 and 2276 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 2276, than apply into the LCM equation.

GCF(2272,2276) = 4
LCM(2272,2276) = ( 2272 × 2276) / 4
LCM(2272,2276) = 5171072 / 4
LCM(2272,2276) = 1292768

Properties of LCM 2272 and 2276

(i) The LCM of 2276 and 2272 is associative

LCM of 2272 and 2276 = LCM of 2276 and 2272

Related Least Common Multiples of 2272

Related Least Common Multiples of 2276

Frequently Asked Questions on LCM of 2272 and 2276

1. What is the LCM of 2272 and 2276?

Answer: LCM of 2272 and 2276 is 1292768.

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 2276?

Answer: Factors of 2276 are 1, 2, 4, 569, 1138, 2276. There are 6 integers that are factors of 2276. The greatest factor of 2276 is 2276.

4. How to Find the LCM of 2272 and 2276?

Answer:

Least Common Multiple of 2272 and 2276 = 1292768

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 2276

2276 = 2 x 2 x 569

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

LCM = 1292768 = 2 x 2 x 2 x 2 x 2 x 71 x 569

Step 4: Therefore, the least common multiple of 2272 and 2276 is 1292768.