Least Common Multiple of 2272 and 2280

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 2280 the smallest integer that is 647520 that is divisible by both numbers.

Least Common Multiple (LCM) of 2272 and 2280 is 647520.

LCM(2272,2280) = 647520

LCM of 2272 and 2280

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

LCM of:
and

Least Common Multiple of 2272 and 2280

LCM of 2272 and 2280 is 647520

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2280. First we will calculate the prime factors of 2272 and 2280.

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 2280


2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 2280 are 2, 3, 5,19. Prime factorization of 2280 in exponential form is:

2280 = 23×31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2272 and 2280.

LCM(2272,2280) = 25×31×51×191×711
LCM(2272,2280) = 647520

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 2280

List of positive integer factors of 2280 that divides 2280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280

Least Common Multiple of 2272 and 2280 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 2280, than apply into the LCM equation.

GCF(2272,2280) = 8
LCM(2272,2280) = ( 2272 × 2280) / 8
LCM(2272,2280) = 5180160 / 8
LCM(2272,2280) = 647520

Properties of LCM 2272 and 2280

(i) The LCM of 2280 and 2272 is associative

LCM of 2272 and 2280 = LCM of 2280 and 2272

Related Least Common Multiples of 2272

Related Least Common Multiples of 2280

Frequently Asked Questions on LCM of 2272 and 2280

1. What is the LCM of 2272 and 2280?

Answer: LCM of 2272 and 2280 is 647520.

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 2280?

Answer: Factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280. There are 32 integers that are factors of 2280. The greatest factor of 2280 is 2280.

4. How to Find the LCM of 2272 and 2280?

Answer:

Least Common Multiple of 2272 and 2280 = 647520

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 2280

2280 = 2 x 2 x 2 x 3 x 5 x 19

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

LCM = 647520 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 x 71

Step 4: Therefore, the least common multiple of 2272 and 2280 is 647520.