Least Common Multiple of 85265 and 85273
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 85273 the smallest integer that is 7270802345 that is divisible by both numbers.
Least Common Multiple (LCM) of 85265 and 85273 is 7270802345.
LCM(85265,85273) = 7270802345
LCM of 85265 and 85273
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 85265 and 85273 by Prime method
- Least Common Multiple of 85265 and 85273 with GCF Formula
LCM of 85265 and 85273 is 7270802345
Least common multiple can be found by multiplying the highest exponent prime factors of 85265 and 85273. First we will calculate the prime factors of 85265 and 85273.
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 85273
| 269 | 85273 |
| 317 | 317 |
| 1 |
Prime factors of 85273 are 269,317. Prime factorization of 85273 in exponential form is:
85273 = 2691×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 85265 and 85273.
LCM(85265,85273) = 51×2691×3171×170531
LCM(85265,85273) = 7270802345
Factors of 85265
List of positive integer factors of 85265 that divides 85265 without a remainder.
1, 5, 17053, 85265
Factors of 85273
List of positive integer factors of 85273 that divides 85273 without a remainder.
1, 269, 317, 85273
Least Common Multiple of 85265 and 85273 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 85273, than apply into the LCM equation.
GCF(85265,85273) = 1
LCM(85265,85273) = ( 85265 × 85273) / 1
LCM(85265,85273) = 7270802345 / 1
LCM(85265,85273) = 7270802345
Properties of LCM 85265 and 85273
(i) The LCM of 85273 and 85265 is associative
LCM of 85265 and 85273 = LCM of 85273 and 85265
Related Least Common Multiples of 85265
Related Least Common Multiples of 85273
Frequently Asked Questions on LCM of 85265 and 85273
1. What is the LCM of 85265 and 85273?
Answer: LCM of 85265 and 85273 is 7270802345.
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 85273?
Answer: Factors of 85273 are 1, 269, 317, 85273. There are 4 integers that are factors of 85273. The greatest factor of 85273 is 85273.
4. How to Find the LCM of 85265 and 85273?
Answer:
Least Common Multiple of 85265 and 85273 = 7270802345
Step 1: Find the prime factorization of 85265
85265 = 5 x 17053
Step 2: Find the prime factorization of 85273
85273 = 269 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7270802345 = 5 x 269 x 317 x 17053
Step 4: Therefore, the least common multiple of 85265 and 85273 is 7270802345.