Least Common Multiple of 85273 and 85277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 85273 and 85277 the smallest integer that is 7271825621 that is divisible by both numbers.
Least Common Multiple (LCM) of 85273 and 85277 is 7271825621.
LCM(85273,85277) = 7271825621
LCM of 85273 and 85277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 85273 and 85277 by Prime method
- Least Common Multiple of 85273 and 85277 with GCF Formula
LCM of 85273 and 85277 is 7271825621
Least common multiple can be found by multiplying the highest exponent prime factors of 85273 and 85277. First we will calculate the prime factors of 85273 and 85277.
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
Prime Factorization of 85277
| 53 | 85277 |
| 1609 | 1609 |
| 1 |
Prime factors of 85277 are 53,1609. Prime factorization of 85277 in exponential form is:
85277 = 531×16091
Now multiplying the highest exponent prime factors to calculate the LCM of 85273 and 85277.
LCM(85273,85277) = 531×2691×3171×16091
LCM(85273,85277) = 7271825621
Factors of 85273
List of positive integer factors of 85273 that divides 85273 without a remainder.
1, 269, 317, 85273
Factors of 85277
List of positive integer factors of 85277 that divides 85277 without a remainder.
1, 53, 1609, 85277
Least Common Multiple of 85273 and 85277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85273 and 85277, than apply into the LCM equation.
GCF(85273,85277) = 1
LCM(85273,85277) = ( 85273 × 85277) / 1
LCM(85273,85277) = 7271825621 / 1
LCM(85273,85277) = 7271825621
Properties of LCM 85273 and 85277
(i) The LCM of 85277 and 85273 is associative
LCM of 85273 and 85277 = LCM of 85277 and 85273
Related Least Common Multiples of 85273
Related Least Common Multiples of 85277
Frequently Asked Questions on LCM of 85273 and 85277
1. What is the LCM of 85273 and 85277?
Answer: LCM of 85273 and 85277 is 7271825621.
2. 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.
3. What are the Factors of 85277?
Answer: Factors of 85277 are 1, 53, 1609, 85277. There are 4 integers that are factors of 85277. The greatest factor of 85277 is 85277.
4. How to Find the LCM of 85273 and 85277?
Answer:
Least Common Multiple of 85273 and 85277 = 7271825621
Step 1: Find the prime factorization of 85273
85273 = 269 x 317
Step 2: Find the prime factorization of 85277
85277 = 53 x 1609
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7271825621 = 53 x 269 x 317 x 1609
Step 4: Therefore, the least common multiple of 85273 and 85277 is 7271825621.