Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9467 and 9473 the smallest integer that is 89680891 that is divisible by both numbers.
Least Common Multiple (LCM) of 9467 and 9473 is 89680891.
LCM(9467,9473) = 89680891
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 9467 and 9473. First we will calculate the prime factors of 9467 and 9473.
Prime Factorization of 9467
9467 | 9467 |
1 |
Prime factors of 9467 are 9467. Prime factorization of 9467 in exponential form is:
9467 = 94671
Prime Factorization of 9473
9473 | 9473 |
1 |
Prime factors of 9473 are 9473. Prime factorization of 9473 in exponential form is:
9473 = 94731
Now multiplying the highest exponent prime factors to calculate the LCM of 9467 and 9473.
LCM(9467,9473) = 94671×94731
LCM(9467,9473) = 89680891
Factors of 9467
List of positive integer factors of 9467 that divides 9467 without a remainder.
1, 9467
Factors of 9473
List of positive integer factors of 9473 that divides 9473 without a remainder.
1, 9473
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9467 and 9473, than apply into the LCM equation.
GCF(9467,9473) = 1
LCM(9467,9473) = ( 9467 × 9473) / 1
LCM(9467,9473) = 89680891 / 1
LCM(9467,9473) = 89680891
(i) The LCM of 9473 and 9467 is associative
LCM of 9467 and 9473 = LCM of 9473 and 9467
1. What is the LCM of 9467 and 9473?
Answer: LCM of 9467 and 9473 is 89680891.
2. What are the Factors of 9467?
Answer: Factors of 9467 are 1, 9467. There are 2 integers that are factors of 9467. The greatest factor of 9467 is 9467.
3. What are the Factors of 9473?
Answer: Factors of 9473 are 1, 9473. There are 2 integers that are factors of 9473. The greatest factor of 9473 is 9473.
4. How to Find the LCM of 9467 and 9473?
Answer:
Least Common Multiple of 9467 and 9473 = 89680891
Step 1: Find the prime factorization of 9467
9467 = 9467
Step 2: Find the prime factorization of 9473
9473 = 9473
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89680891 = 9467 x 9473
Step 4: Therefore, the least common multiple of 9467 and 9473 is 89680891.