Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3277 and 3280 the smallest integer that is 10748560 that is divisible by both numbers.
Least Common Multiple (LCM) of 3277 and 3280 is 10748560.
LCM(3277,3280) = 10748560
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 3277 and 3280. First we will calculate the prime factors of 3277 and 3280.
Prime Factorization of 3277
29 | 3277 |
113 | 113 |
1 |
Prime factors of 3277 are 29,113. Prime factorization of 3277 in exponential form is:
3277 = 291×1131
Prime Factorization of 3280
2 | 3280 |
2 | 1640 |
2 | 820 |
2 | 410 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 3280 are 2, 5,41. Prime factorization of 3280 in exponential form is:
3280 = 24×51×411
Now multiplying the highest exponent prime factors to calculate the LCM of 3277 and 3280.
LCM(3277,3280) = 24×51×291×411×1131
LCM(3277,3280) = 10748560
Factors of 3277
List of positive integer factors of 3277 that divides 3277 without a remainder.
1, 29, 113, 3277
Factors of 3280
List of positive integer factors of 3280 that divides 3280 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3277 and 3280, than apply into the LCM equation.
GCF(3277,3280) = 1
LCM(3277,3280) = ( 3277 × 3280) / 1
LCM(3277,3280) = 10748560 / 1
LCM(3277,3280) = 10748560
(i) The LCM of 3280 and 3277 is associative
LCM of 3277 and 3280 = LCM of 3280 and 3277
1. What is the LCM of 3277 and 3280?
Answer: LCM of 3277 and 3280 is 10748560.
2. What are the Factors of 3277?
Answer: Factors of 3277 are 1, 29, 113, 3277. There are 4 integers that are factors of 3277. The greatest factor of 3277 is 3277.
3. What are the Factors of 3280?
Answer: Factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280. There are 20 integers that are factors of 3280. The greatest factor of 3280 is 3280.
4. How to Find the LCM of 3277 and 3280?
Answer:
Least Common Multiple of 3277 and 3280 = 10748560
Step 1: Find the prime factorization of 3277
3277 = 29 x 113
Step 2: Find the prime factorization of 3280
3280 = 2 x 2 x 2 x 2 x 5 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10748560 = 2 x 2 x 2 x 2 x 5 x 29 x 41 x 113
Step 4: Therefore, the least common multiple of 3277 and 3280 is 10748560.