Least Common Multiple of 2274 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 2274 and 2280 the smallest integer that is 864120 that is divisible by both numbers.

Least Common Multiple (LCM) of 2274 and 2280 is 864120.

LCM(2274,2280) = 864120

LCM of 2274 and 2280

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

LCM of:
and

Least Common Multiple of 2274 and 2280

LCM of 2274 and 2280 is 864120

Least common multiple can be found by multiplying the highest exponent prime factors of 2274 and 2280. First we will calculate the prime factors of 2274 and 2280.

Prime Factorization of 2274


2 2274
3 1137
379 379
1

Prime factors of 2274 are 2, 3,379. Prime factorization of 2274 in exponential form is:

2274 = 21×31×3791

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 2274 and 2280.

LCM(2274,2280) = 23×31×51×191×3791
LCM(2274,2280) = 864120

Factors of 2274

List of positive integer factors of 2274 that divides 2274 without a remainder.

1, 2, 3, 6, 379, 758, 1137, 2274

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 2274 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 2274 and 2280, than apply into the LCM equation.

GCF(2274,2280) = 6
LCM(2274,2280) = ( 2274 × 2280) / 6
LCM(2274,2280) = 5184720 / 6
LCM(2274,2280) = 864120

Properties of LCM 2274 and 2280

(i) The LCM of 2280 and 2274 is associative

LCM of 2274 and 2280 = LCM of 2280 and 2274

Related Least Common Multiples of 2274

Related Least Common Multiples of 2280

Frequently Asked Questions on LCM of 2274 and 2280

1. What is the LCM of 2274 and 2280?

Answer: LCM of 2274 and 2280 is 864120.

2. What are the Factors of 2274?

Answer: Factors of 2274 are 1, 2, 3, 6, 379, 758, 1137, 2274. There are 8 integers that are factors of 2274. The greatest factor of 2274 is 2274.

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 2274 and 2280?

Answer:

Least Common Multiple of 2274 and 2280 = 864120

Step 1: Find the prime factorization of 2274

2274 = 2 x 3 x 379

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 = 864120 = 2 x 2 x 2 x 3 x 5 x 19 x 379

Step 4: Therefore, the least common multiple of 2274 and 2280 is 864120.