Least Common Multiple of 2264 and 2272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2264 and 2272 the smallest integer that is 642976 that is divisible by both numbers.

Least Common Multiple (LCM) of 2264 and 2272 is 642976.

LCM(2264,2272) = 642976

LCM of 2264 and 2272

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

LCM of:
and

Least Common Multiple of 2264 and 2272

LCM of 2264 and 2272 is 642976

Least common multiple can be found by multiplying the highest exponent prime factors of 2264 and 2272. First we will calculate the prime factors of 2264 and 2272.

Prime Factorization of 2264


2 2264
2 1132
2 566
283 283
1

Prime factors of 2264 are 2,283. Prime factorization of 2264 in exponential form is:

2264 = 23×2831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2264 and 2272.

LCM(2264,2272) = 25×711×2831
LCM(2264,2272) = 642976

Factors of 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1, 2, 4, 8, 283, 566, 1132, 2264

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

Least Common Multiple of 2264 and 2272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2264 and 2272, than apply into the LCM equation.

GCF(2264,2272) = 8
LCM(2264,2272) = ( 2264 × 2272) / 8
LCM(2264,2272) = 5143808 / 8
LCM(2264,2272) = 642976

Properties of LCM 2264 and 2272

(i) The LCM of 2272 and 2264 is associative

LCM of 2264 and 2272 = LCM of 2272 and 2264

Related Least Common Multiples of 2264

Related Least Common Multiples of 2272

Frequently Asked Questions on LCM of 2264 and 2272

1. What is the LCM of 2264 and 2272?

Answer: LCM of 2264 and 2272 is 642976.

2. What are the Factors of 2264?

Answer: Factors of 2264 are 1, 2, 4, 8, 283, 566, 1132, 2264. There are 8 integers that are factors of 2264. The greatest factor of 2264 is 2264.

3. 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.

4. How to Find the LCM of 2264 and 2272?

Answer:

Least Common Multiple of 2264 and 2272 = 642976

Step 1: Find the prime factorization of 2264

2264 = 2 x 2 x 2 x 283

Step 2: Find the prime factorization of 2272

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

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

LCM = 642976 = 2 x 2 x 2 x 2 x 2 x 71 x 283

Step 4: Therefore, the least common multiple of 2264 and 2272 is 642976.