Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9973 and 9980 the smallest integer that is 99530540 that is divisible by both numbers.
Least Common Multiple (LCM) of 9973 and 9980 is 99530540.
LCM(9973,9980) = 99530540
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 9973 and 9980. First we will calculate the prime factors of 9973 and 9980.
Prime Factorization of 9973
9973 | 9973 |
1 |
Prime factors of 9973 are 9973. Prime factorization of 9973 in exponential form is:
9973 = 99731
Prime Factorization of 9980
2 | 9980 |
2 | 4990 |
5 | 2495 |
499 | 499 |
1 |
Prime factors of 9980 are 2, 5,499. Prime factorization of 9980 in exponential form is:
9980 = 22×51×4991
Now multiplying the highest exponent prime factors to calculate the LCM of 9973 and 9980.
LCM(9973,9980) = 22×51×4991×99731
LCM(9973,9980) = 99530540
Factors of 9973
List of positive integer factors of 9973 that divides 9973 without a remainder.
1, 9973
Factors of 9980
List of positive integer factors of 9980 that divides 9980 without a remainder.
1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9973 and 9980, than apply into the LCM equation.
GCF(9973,9980) = 1
LCM(9973,9980) = ( 9973 × 9980) / 1
LCM(9973,9980) = 99530540 / 1
LCM(9973,9980) = 99530540
(i) The LCM of 9980 and 9973 is associative
LCM of 9973 and 9980 = LCM of 9980 and 9973
1. What is the LCM of 9973 and 9980?
Answer: LCM of 9973 and 9980 is 99530540.
2. 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.
3. What are the Factors of 9980?
Answer: Factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980. There are 12 integers that are factors of 9980. The greatest factor of 9980 is 9980.
4. How to Find the LCM of 9973 and 9980?
Answer:
Least Common Multiple of 9973 and 9980 = 99530540
Step 1: Find the prime factorization of 9973
9973 = 9973
Step 2: Find the prime factorization of 9980
9980 = 2 x 2 x 5 x 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 99530540 = 2 x 2 x 5 x 499 x 9973
Step 4: Therefore, the least common multiple of 9973 and 9980 is 99530540.