Least Common Multiple of 7271 and 7277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7271 and 7277 the smallest integer that is 52911067 that is divisible by both numbers.
Least Common Multiple (LCM) of 7271 and 7277 is 52911067.
LCM(7271,7277) = 52911067
LCM of 7271 and 7277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7271 and 7277 by Prime method
- Least Common Multiple of 7271 and 7277 with GCF Formula
LCM of 7271 and 7277 is 52911067
Least common multiple can be found by multiplying the highest exponent prime factors of 7271 and 7277. First we will calculate the prime factors of 7271 and 7277.
Prime Factorization of 7271
| 11 | 7271 |
| 661 | 661 |
| 1 |
Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:
7271 = 111×6611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7271 and 7277.
LCM(7271,7277) = 111×191×3831×6611
LCM(7271,7277) = 52911067
Factors of 7271
List of positive integer factors of 7271 that divides 7271 without a remainder.
1, 11, 661, 7271
Factors of 7277
List of positive integer factors of 7277 that divides 7277 without a remainder.
1, 19, 383, 7277
Least Common Multiple of 7271 and 7277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7271 and 7277, than apply into the LCM equation.
GCF(7271,7277) = 1
LCM(7271,7277) = ( 7271 × 7277) / 1
LCM(7271,7277) = 52911067 / 1
LCM(7271,7277) = 52911067
Properties of LCM 7271 and 7277
(i) The LCM of 7277 and 7271 is associative
LCM of 7271 and 7277 = LCM of 7277 and 7271
Related Least Common Multiples of 7271
Related Least Common Multiples of 7277
Frequently Asked Questions on LCM of 7271 and 7277
1. What is the LCM of 7271 and 7277?
Answer: LCM of 7271 and 7277 is 52911067.
2. What are the Factors of 7271?
Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.
3. 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.
4. How to Find the LCM of 7271 and 7277?
Answer:
Least Common Multiple of 7271 and 7277 = 52911067
Step 1: Find the prime factorization of 7271
7271 = 11 x 661
Step 2: Find the prime factorization of 7277
7277 = 19 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52911067 = 11 x 19 x 383 x 661
Step 4: Therefore, the least common multiple of 7271 and 7277 is 52911067.