Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 22447 and 22453 the smallest integer that is 504002491 that is divisible by both numbers.
Least Common Multiple (LCM) of 22447 and 22453 is 504002491.
LCM(22447,22453) = 504002491
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 22447 and 22453. First we will calculate the prime factors of 22447 and 22453.
Prime Factorization of 22447
22447 | 22447 |
1 |
Prime factors of 22447 are 22447. Prime factorization of 22447 in exponential form is:
22447 = 224471
Prime Factorization of 22453
22453 | 22453 |
1 |
Prime factors of 22453 are 22453. Prime factorization of 22453 in exponential form is:
22453 = 224531
Now multiplying the highest exponent prime factors to calculate the LCM of 22447 and 22453.
LCM(22447,22453) = 224471×224531
LCM(22447,22453) = 504002491
Factors of 22447
List of positive integer factors of 22447 that divides 22447 without a remainder.
1, 22447
Factors of 22453
List of positive integer factors of 22453 that divides 22453 without a remainder.
1, 22453
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22447 and 22453, than apply into the LCM equation.
GCF(22447,22453) = 1
LCM(22447,22453) = ( 22447 × 22453) / 1
LCM(22447,22453) = 504002491 / 1
LCM(22447,22453) = 504002491
(i) The LCM of 22453 and 22447 is associative
LCM of 22447 and 22453 = LCM of 22453 and 22447
1. What is the LCM of 22447 and 22453?
Answer: LCM of 22447 and 22453 is 504002491.
2. What are the Factors of 22447?
Answer: Factors of 22447 are 1, 22447. There are 2 integers that are factors of 22447. The greatest factor of 22447 is 22447.
3. What are the Factors of 22453?
Answer: Factors of 22453 are 1, 22453. There are 2 integers that are factors of 22453. The greatest factor of 22453 is 22453.
4. How to Find the LCM of 22447 and 22453?
Answer:
Least Common Multiple of 22447 and 22453 = 504002491
Step 1: Find the prime factorization of 22447
22447 = 22447
Step 2: Find the prime factorization of 22453
22453 = 22453
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 504002491 = 22447 x 22453
Step 4: Therefore, the least common multiple of 22447 and 22453 is 504002491.