Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9601 and 9604 the smallest integer that is 92208004 that is divisible by both numbers.
Least Common Multiple (LCM) of 9601 and 9604 is 92208004.
LCM(9601,9604) = 92208004
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 9601 and 9604. First we will calculate the prime factors of 9601 and 9604.
Prime Factorization of 9601
9601 | 9601 |
1 |
Prime factors of 9601 are 9601. Prime factorization of 9601 in exponential form is:
9601 = 96011
Prime Factorization of 9604
2 | 9604 |
2 | 4802 |
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:
9604 = 22×74
Now multiplying the highest exponent prime factors to calculate the LCM of 9601 and 9604.
LCM(9601,9604) = 22×74×96011
LCM(9601,9604) = 92208004
Factors of 9601
List of positive integer factors of 9601 that divides 9601 without a remainder.
1, 9601
Factors of 9604
List of positive integer factors of 9604 that divides 9604 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9601 and 9604, than apply into the LCM equation.
GCF(9601,9604) = 1
LCM(9601,9604) = ( 9601 × 9604) / 1
LCM(9601,9604) = 92208004 / 1
LCM(9601,9604) = 92208004
(i) The LCM of 9604 and 9601 is associative
LCM of 9601 and 9604 = LCM of 9604 and 9601
1. What is the LCM of 9601 and 9604?
Answer: LCM of 9601 and 9604 is 92208004.
2. What are the Factors of 9601?
Answer: Factors of 9601 are 1, 9601. There are 2 integers that are factors of 9601. The greatest factor of 9601 is 9601.
3. What are the Factors of 9604?
Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.
4. How to Find the LCM of 9601 and 9604?
Answer:
Least Common Multiple of 9601 and 9604 = 92208004
Step 1: Find the prime factorization of 9601
9601 = 9601
Step 2: Find the prime factorization of 9604
9604 = 2 x 2 x 7 x 7 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 92208004 = 2 x 2 x 7 x 7 x 7 x 7 x 9601
Step 4: Therefore, the least common multiple of 9601 and 9604 is 92208004.