Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9893 and 9901 the smallest integer that is 97950593 that is divisible by both numbers.
Least Common Multiple (LCM) of 9893 and 9901 is 97950593.
LCM(9893,9901) = 97950593
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 9893 and 9901. First we will calculate the prime factors of 9893 and 9901.
Prime Factorization of 9893
13 | 9893 |
761 | 761 |
1 |
Prime factors of 9893 are 13,761. Prime factorization of 9893 in exponential form is:
9893 = 131×7611
Prime Factorization of 9901
9901 | 9901 |
1 |
Prime factors of 9901 are 9901. Prime factorization of 9901 in exponential form is:
9901 = 99011
Now multiplying the highest exponent prime factors to calculate the LCM of 9893 and 9901.
LCM(9893,9901) = 131×7611×99011
LCM(9893,9901) = 97950593
Factors of 9893
List of positive integer factors of 9893 that divides 9893 without a remainder.
1, 13, 761, 9893
Factors of 9901
List of positive integer factors of 9901 that divides 9901 without a remainder.
1, 9901
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9893 and 9901, than apply into the LCM equation.
GCF(9893,9901) = 1
LCM(9893,9901) = ( 9893 × 9901) / 1
LCM(9893,9901) = 97950593 / 1
LCM(9893,9901) = 97950593
(i) The LCM of 9901 and 9893 is associative
LCM of 9893 and 9901 = LCM of 9901 and 9893
1. What is the LCM of 9893 and 9901?
Answer: LCM of 9893 and 9901 is 97950593.
2. What are the Factors of 9893?
Answer: Factors of 9893 are 1, 13, 761, 9893. There are 4 integers that are factors of 9893. The greatest factor of 9893 is 9893.
3. What are the Factors of 9901?
Answer: Factors of 9901 are 1, 9901. There are 2 integers that are factors of 9901. The greatest factor of 9901 is 9901.
4. How to Find the LCM of 9893 and 9901?
Answer:
Least Common Multiple of 9893 and 9901 = 97950593
Step 1: Find the prime factorization of 9893
9893 = 13 x 761
Step 2: Find the prime factorization of 9901
9901 = 9901
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 97950593 = 13 x 761 x 9901
Step 4: Therefore, the least common multiple of 9893 and 9901 is 97950593.