Least Common Multiple of 85265 and 85271
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 85265 and 85271 the smallest integer that is 7270631815 that is divisible by both numbers.
Least Common Multiple (LCM) of 85265 and 85271 is 7270631815.
LCM(85265,85271) = 7270631815
LCM of 85265 and 85271
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 85265 and 85271 by Prime method
- Least Common Multiple of 85265 and 85271 with GCF Formula
LCM of 85265 and 85271 is 7270631815
Least common multiple can be found by multiplying the highest exponent prime factors of 85265 and 85271. First we will calculate the prime factors of 85265 and 85271.
Prime Factorization of 85265
| 5 | 85265 |
| 17053 | 17053 |
| 1 |
Prime factors of 85265 are 5,17053. Prime factorization of 85265 in exponential form is:
85265 = 51×170531
Prime Factorization of 85271
| 71 | 85271 |
| 1201 | 1201 |
| 1 |
Prime factors of 85271 are 71,1201. Prime factorization of 85271 in exponential form is:
85271 = 711×12011
Now multiplying the highest exponent prime factors to calculate the LCM of 85265 and 85271.
LCM(85265,85271) = 51×711×12011×170531
LCM(85265,85271) = 7270631815
Factors of 85265
List of positive integer factors of 85265 that divides 85265 without a remainder.
1, 5, 17053, 85265
Factors of 85271
List of positive integer factors of 85271 that divides 85271 without a remainder.
1, 71, 1201, 85271
Least Common Multiple of 85265 and 85271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85265 and 85271, than apply into the LCM equation.
GCF(85265,85271) = 1
LCM(85265,85271) = ( 85265 × 85271) / 1
LCM(85265,85271) = 7270631815 / 1
LCM(85265,85271) = 7270631815
Properties of LCM 85265 and 85271
(i) The LCM of 85271 and 85265 is associative
LCM of 85265 and 85271 = LCM of 85271 and 85265
Related Least Common Multiples of 85265
Related Least Common Multiples of 85271
Frequently Asked Questions on LCM of 85265 and 85271
1. What is the LCM of 85265 and 85271?
Answer: LCM of 85265 and 85271 is 7270631815.
2. What are the Factors of 85265?
Answer: Factors of 85265 are 1, 5, 17053, 85265. There are 4 integers that are factors of 85265. The greatest factor of 85265 is 85265.
3. What are the Factors of 85271?
Answer: Factors of 85271 are 1, 71, 1201, 85271. There are 4 integers that are factors of 85271. The greatest factor of 85271 is 85271.
4. How to Find the LCM of 85265 and 85271?
Answer:
Least Common Multiple of 85265 and 85271 = 7270631815
Step 1: Find the prime factorization of 85265
85265 = 5 x 17053
Step 2: Find the prime factorization of 85271
85271 = 71 x 1201
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7270631815 = 5 x 71 x 1201 x 17053
Step 4: Therefore, the least common multiple of 85265 and 85271 is 7270631815.