Least Common Multiple of 2272 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 2272 and 2279 the smallest integer that is 5177888 that is divisible by both numbers.

Least Common Multiple (LCM) of 2272 and 2279 is 5177888.

LCM(2272,2279) = 5177888

LCM of 2272 and 2279

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

LCM of:
and

Least Common Multiple of 2272 and 2279

LCM of 2272 and 2279 is 5177888

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2279. First we will calculate the prime factors of 2272 and 2279.

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 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 2272 and 2279.

LCM(2272,2279) = 25×431×531×711
LCM(2272,2279) = 5177888

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 2279

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

1, 43, 53, 2279

Least Common Multiple of 2272 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 2272 and 2279, than apply into the LCM equation.

GCF(2272,2279) = 1
LCM(2272,2279) = ( 2272 × 2279) / 1
LCM(2272,2279) = 5177888 / 1
LCM(2272,2279) = 5177888

Properties of LCM 2272 and 2279

(i) The LCM of 2279 and 2272 is associative

LCM of 2272 and 2279 = LCM of 2279 and 2272

Related Least Common Multiples of 2272

Related Least Common Multiples of 2279

Frequently Asked Questions on LCM of 2272 and 2279

1. What is the LCM of 2272 and 2279?

Answer: LCM of 2272 and 2279 is 5177888.

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 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 2272 and 2279?

Answer:

Least Common Multiple of 2272 and 2279 = 5177888

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 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 = 5177888 = 2 x 2 x 2 x 2 x 2 x 43 x 53 x 71

Step 4: Therefore, the least common multiple of 2272 and 2279 is 5177888.