Least Common Multiple of 4273 and 4277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4273 and 4277 the smallest integer that is 18275621 that is divisible by both numbers.
Least Common Multiple (LCM) of 4273 and 4277 is 18275621.
LCM(4273,4277) = 18275621
LCM of 4273 and 4277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4273 and 4277 by Prime method
- Least Common Multiple of 4273 and 4277 with GCF Formula
LCM of 4273 and 4277 is 18275621
Least common multiple can be found by multiplying the highest exponent prime factors of 4273 and 4277. First we will calculate the prime factors of 4273 and 4277.
Prime Factorization of 4273
| 4273 | 4273 |
| 1 |
Prime factors of 4273 are 4273. Prime factorization of 4273 in exponential form is:
4273 = 42731
Prime Factorization of 4277
| 7 | 4277 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 4277 are 7, 13,47. Prime factorization of 4277 in exponential form is:
4277 = 71×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 4273 and 4277.
LCM(4273,4277) = 71×131×471×42731
LCM(4273,4277) = 18275621
Factors of 4273
List of positive integer factors of 4273 that divides 4273 without a remainder.
1, 4273
Factors of 4277
List of positive integer factors of 4277 that divides 4277 without a remainder.
1, 7, 13, 47, 91, 329, 611, 4277
Least Common Multiple of 4273 and 4277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4273 and 4277, than apply into the LCM equation.
GCF(4273,4277) = 1
LCM(4273,4277) = ( 4273 × 4277) / 1
LCM(4273,4277) = 18275621 / 1
LCM(4273,4277) = 18275621
Properties of LCM 4273 and 4277
(i) The LCM of 4277 and 4273 is associative
LCM of 4273 and 4277 = LCM of 4277 and 4273
Related Least Common Multiples of 4273
Related Least Common Multiples of 4277
Frequently Asked Questions on LCM of 4273 and 4277
1. What is the LCM of 4273 and 4277?
Answer: LCM of 4273 and 4277 is 18275621.
2. What are the Factors of 4273?
Answer: Factors of 4273 are 1, 4273. There are 2 integers that are factors of 4273. The greatest factor of 4273 is 4273.
3. What are the Factors of 4277?
Answer: Factors of 4277 are 1, 7, 13, 47, 91, 329, 611, 4277. There are 8 integers that are factors of 4277. The greatest factor of 4277 is 4277.
4. How to Find the LCM of 4273 and 4277?
Answer:
Least Common Multiple of 4273 and 4277 = 18275621
Step 1: Find the prime factorization of 4273
4273 = 4273
Step 2: Find the prime factorization of 4277
4277 = 7 x 13 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 = 18275621 = 7 x 13 x 47 x 4273
Step 4: Therefore, the least common multiple of 4273 and 4277 is 18275621.