Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4267 and 4273 the smallest integer that is 18232891 that is divisible by both numbers.
Least Common Multiple (LCM) of 4267 and 4273 is 18232891.
LCM(4267,4273) = 18232891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4267 and 4273. First we will calculate the prime factors of 4267 and 4273.
Prime Factorization of 4267
17 | 4267 |
251 | 251 |
1 |
Prime factors of 4267 are 17,251. Prime factorization of 4267 in exponential form is:
4267 = 171×2511
Prime Factorization of 4273
4273 | 4273 |
1 |
Prime factors of 4273 are 4273. Prime factorization of 4273 in exponential form is:
4273 = 42731
Now multiplying the highest exponent prime factors to calculate the LCM of 4267 and 4273.
LCM(4267,4273) = 171×2511×42731
LCM(4267,4273) = 18232891
Factors of 4267
List of positive integer factors of 4267 that divides 4267 without a remainder.
1, 17, 251, 4267
Factors of 4273
List of positive integer factors of 4273 that divides 4273 without a remainder.
1, 4273
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4267 and 4273, than apply into the LCM equation.
GCF(4267,4273) = 1
LCM(4267,4273) = ( 4267 × 4273) / 1
LCM(4267,4273) = 18232891 / 1
LCM(4267,4273) = 18232891
(i) The LCM of 4273 and 4267 is associative
LCM of 4267 and 4273 = LCM of 4273 and 4267
1. What is the LCM of 4267 and 4273?
Answer: LCM of 4267 and 4273 is 18232891.
2. What are the Factors of 4267?
Answer: Factors of 4267 are 1, 17, 251, 4267. There are 4 integers that are factors of 4267. The greatest factor of 4267 is 4267.
3. 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.
4. How to Find the LCM of 4267 and 4273?
Answer:
Least Common Multiple of 4267 and 4273 = 18232891
Step 1: Find the prime factorization of 4267
4267 = 17 x 251
Step 2: Find the prime factorization of 4273
4273 = 4273
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18232891 = 17 x 251 x 4273
Step 4: Therefore, the least common multiple of 4267 and 4273 is 18232891.