Least Common Multiple of 2272 and 2278

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 2278 the smallest integer that is 2587808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2272 and 2278 is 2587808.

LCM(2272,2278) = 2587808

LCM of 2272 and 2278

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

LCM of:
and

Least Common Multiple of 2272 and 2278

LCM of 2272 and 2278 is 2587808

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2278. First we will calculate the prime factors of 2272 and 2278.

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 2278


2 2278
17 1139
67 67
1

Prime factors of 2278 are 2, 17,67. Prime factorization of 2278 in exponential form is:

2278 = 21×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2272 and 2278.

LCM(2272,2278) = 25×171×671×711
LCM(2272,2278) = 2587808

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 2278

List of positive integer factors of 2278 that divides 2278 without a remainder.

1, 2, 17, 34, 67, 134, 1139, 2278

Least Common Multiple of 2272 and 2278 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 2278, than apply into the LCM equation.

GCF(2272,2278) = 2
LCM(2272,2278) = ( 2272 × 2278) / 2
LCM(2272,2278) = 5175616 / 2
LCM(2272,2278) = 2587808

Properties of LCM 2272 and 2278

(i) The LCM of 2278 and 2272 is associative

LCM of 2272 and 2278 = LCM of 2278 and 2272

Related Least Common Multiples of 2272

Related Least Common Multiples of 2278

Frequently Asked Questions on LCM of 2272 and 2278

1. What is the LCM of 2272 and 2278?

Answer: LCM of 2272 and 2278 is 2587808.

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 2278?

Answer: Factors of 2278 are 1, 2, 17, 34, 67, 134, 1139, 2278. There are 8 integers that are factors of 2278. The greatest factor of 2278 is 2278.

4. How to Find the LCM of 2272 and 2278?

Answer:

Least Common Multiple of 2272 and 2278 = 2587808

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 2278

2278 = 2 x 17 x 67

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

LCM = 2587808 = 2 x 2 x 2 x 2 x 2 x 17 x 67 x 71

Step 4: Therefore, the least common multiple of 2272 and 2278 is 2587808.