Least Common Multiple of 7277 and 7285
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7277 and 7285 the smallest integer that is 53012945 that is divisible by both numbers.
Least Common Multiple (LCM) of 7277 and 7285 is 53012945.
LCM(7277,7285) = 53012945
LCM of 7277 and 7285
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7277 and 7285 by Prime method
- Least Common Multiple of 7277 and 7285 with GCF Formula
LCM of 7277 and 7285 is 53012945
Least common multiple can be found by multiplying the highest exponent prime factors of 7277 and 7285. First we will calculate the prime factors of 7277 and 7285.
Prime Factorization of 7277
| 19 | 7277 |
| 383 | 383 |
| 1 |
Prime factors of 7277 are 19,383. Prime factorization of 7277 in exponential form is:
7277 = 191×3831
Prime Factorization of 7285
| 5 | 7285 |
| 31 | 1457 |
| 47 | 47 |
| 1 |
Prime factors of 7285 are 5, 31,47. Prime factorization of 7285 in exponential form is:
7285 = 51×311×471
Now multiplying the highest exponent prime factors to calculate the LCM of 7277 and 7285.
LCM(7277,7285) = 51×191×311×471×3831
LCM(7277,7285) = 53012945
Factors of 7277
List of positive integer factors of 7277 that divides 7277 without a remainder.
1, 19, 383, 7277
Factors of 7285
List of positive integer factors of 7285 that divides 7285 without a remainder.
1, 5, 31, 47, 155, 235, 1457, 7285
Least Common Multiple of 7277 and 7285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7277 and 7285, than apply into the LCM equation.
GCF(7277,7285) = 1
LCM(7277,7285) = ( 7277 × 7285) / 1
LCM(7277,7285) = 53012945 / 1
LCM(7277,7285) = 53012945
Properties of LCM 7277 and 7285
(i) The LCM of 7285 and 7277 is associative
LCM of 7277 and 7285 = LCM of 7285 and 7277
Related Least Common Multiples of 7277
Related Least Common Multiples of 7285
Frequently Asked Questions on LCM of 7277 and 7285
1. What is the LCM of 7277 and 7285?
Answer: LCM of 7277 and 7285 is 53012945.
2. What are the Factors of 7277?
Answer: Factors of 7277 are 1, 19, 383, 7277. There are 4 integers that are factors of 7277. The greatest factor of 7277 is 7277.
3. What are the Factors of 7285?
Answer: Factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285. There are 8 integers that are factors of 7285. The greatest factor of 7285 is 7285.
4. How to Find the LCM of 7277 and 7285?
Answer:
Least Common Multiple of 7277 and 7285 = 53012945
Step 1: Find the prime factorization of 7277
7277 = 19 x 383
Step 2: Find the prime factorization of 7285
7285 = 5 x 31 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 53012945 = 5 x 19 x 31 x 47 x 383
Step 4: Therefore, the least common multiple of 7277 and 7285 is 53012945.