Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9969 and 9973 the smallest integer that is 99420837 that is divisible by both numbers.
Least Common Multiple (LCM) of 9969 and 9973 is 99420837.
LCM(9969,9973) = 99420837
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 9969 and 9973. First we will calculate the prime factors of 9969 and 9973.
Prime Factorization of 9969
3 | 9969 |
3323 | 3323 |
1 |
Prime factors of 9969 are 3,3323. Prime factorization of 9969 in exponential form is:
9969 = 31×33231
Prime Factorization of 9973
9973 | 9973 |
1 |
Prime factors of 9973 are 9973. Prime factorization of 9973 in exponential form is:
9973 = 99731
Now multiplying the highest exponent prime factors to calculate the LCM of 9969 and 9973.
LCM(9969,9973) = 31×33231×99731
LCM(9969,9973) = 99420837
Factors of 9969
List of positive integer factors of 9969 that divides 9969 without a remainder.
1, 3, 3323, 9969
Factors of 9973
List of positive integer factors of 9973 that divides 9973 without a remainder.
1, 9973
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9969 and 9973, than apply into the LCM equation.
GCF(9969,9973) = 1
LCM(9969,9973) = ( 9969 × 9973) / 1
LCM(9969,9973) = 99420837 / 1
LCM(9969,9973) = 99420837
(i) The LCM of 9973 and 9969 is associative
LCM of 9969 and 9973 = LCM of 9973 and 9969
1. What is the LCM of 9969 and 9973?
Answer: LCM of 9969 and 9973 is 99420837.
2. What are the Factors of 9969?
Answer: Factors of 9969 are 1, 3, 3323, 9969. There are 4 integers that are factors of 9969. The greatest factor of 9969 is 9969.
3. What are the Factors of 9973?
Answer: Factors of 9973 are 1, 9973. There are 2 integers that are factors of 9973. The greatest factor of 9973 is 9973.
4. How to Find the LCM of 9969 and 9973?
Answer:
Least Common Multiple of 9969 and 9973 = 99420837
Step 1: Find the prime factorization of 9969
9969 = 3 x 3323
Step 2: Find the prime factorization of 9973
9973 = 9973
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99420837 = 3 x 3323 x 9973
Step 4: Therefore, the least common multiple of 9969 and 9973 is 99420837.