Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2273 and 2280 the smallest integer that is 5182440 that is divisible by both numbers.
Least Common Multiple (LCM) of 2273 and 2280 is 5182440.
LCM(2273,2280) = 5182440
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2273 and 2280. First we will calculate the prime factors of 2273 and 2280.
Prime Factorization of 2273
2273 | 2273 |
1 |
Prime factors of 2273 are 2273. Prime factorization of 2273 in exponential form is:
2273 = 22731
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 2273 and 2280.
LCM(2273,2280) = 23×31×51×191×22731
LCM(2273,2280) = 5182440
Factors of 2273
List of positive integer factors of 2273 that divides 2273 without a remainder.
1, 2273
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2273 and 2280, than apply into the LCM equation.
GCF(2273,2280) = 1
LCM(2273,2280) = ( 2273 × 2280) / 1
LCM(2273,2280) = 5182440 / 1
LCM(2273,2280) = 5182440
(i) The LCM of 2280 and 2273 is associative
LCM of 2273 and 2280 = LCM of 2280 and 2273
1. What is the LCM of 2273 and 2280?
Answer: LCM of 2273 and 2280 is 5182440.
2. What are the Factors of 2273?
Answer: Factors of 2273 are 1, 2273. There are 2 integers that are factors of 2273. The greatest factor of 2273 is 2273.
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 2273 and 2280?
Answer:
Least Common Multiple of 2273 and 2280 = 5182440
Step 1: Find the prime factorization of 2273
2273 = 2273
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 = 5182440 = 2 x 2 x 2 x 3 x 5 x 19 x 2273
Step 4: Therefore, the least common multiple of 2273 and 2280 is 5182440.