Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 22433 and 22441 the smallest integer that is 503418953 that is divisible by both numbers.
Least Common Multiple (LCM) of 22433 and 22441 is 503418953.
LCM(22433,22441) = 503418953
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 22433 and 22441. First we will calculate the prime factors of 22433 and 22441.
Prime Factorization of 22433
22433 | 22433 |
1 |
Prime factors of 22433 are 22433. Prime factorization of 22433 in exponential form is:
22433 = 224331
Prime Factorization of 22441
22441 | 22441 |
1 |
Prime factors of 22441 are 22441. Prime factorization of 22441 in exponential form is:
22441 = 224411
Now multiplying the highest exponent prime factors to calculate the LCM of 22433 and 22441.
LCM(22433,22441) = 224331×224411
LCM(22433,22441) = 503418953
Factors of 22433
List of positive integer factors of 22433 that divides 22433 without a remainder.
1, 22433
Factors of 22441
List of positive integer factors of 22441 that divides 22441 without a remainder.
1, 22441
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22433 and 22441, than apply into the LCM equation.
GCF(22433,22441) = 1
LCM(22433,22441) = ( 22433 × 22441) / 1
LCM(22433,22441) = 503418953 / 1
LCM(22433,22441) = 503418953
(i) The LCM of 22441 and 22433 is associative
LCM of 22433 and 22441 = LCM of 22441 and 22433
1. What is the LCM of 22433 and 22441?
Answer: LCM of 22433 and 22441 is 503418953.
2. What are the Factors of 22433?
Answer: Factors of 22433 are 1, 22433. There are 2 integers that are factors of 22433. The greatest factor of 22433 is 22433.
3. What are the Factors of 22441?
Answer: Factors of 22441 are 1, 22441. There are 2 integers that are factors of 22441. The greatest factor of 22441 is 22441.
4. How to Find the LCM of 22433 and 22441?
Answer:
Least Common Multiple of 22433 and 22441 = 503418953
Step 1: Find the prime factorization of 22433
22433 = 22433
Step 2: Find the prime factorization of 22441
22441 = 22441
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 503418953 = 22433 x 22441
Step 4: Therefore, the least common multiple of 22433 and 22441 is 503418953.