Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9496 and 9501 the smallest integer that is 90221496 that is divisible by both numbers.
Least Common Multiple (LCM) of 9496 and 9501 is 90221496.
LCM(9496,9501) = 90221496
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 9496 and 9501. First we will calculate the prime factors of 9496 and 9501.
Prime Factorization of 9496
2 | 9496 |
2 | 4748 |
2 | 2374 |
1187 | 1187 |
1 |
Prime factors of 9496 are 2,1187. Prime factorization of 9496 in exponential form is:
9496 = 23×11871
Prime Factorization of 9501
3 | 9501 |
3167 | 3167 |
1 |
Prime factors of 9501 are 3,3167. Prime factorization of 9501 in exponential form is:
9501 = 31×31671
Now multiplying the highest exponent prime factors to calculate the LCM of 9496 and 9501.
LCM(9496,9501) = 23×31×11871×31671
LCM(9496,9501) = 90221496
Factors of 9496
List of positive integer factors of 9496 that divides 9496 without a remainder.
1, 2, 4, 8, 1187, 2374, 4748, 9496
Factors of 9501
List of positive integer factors of 9501 that divides 9501 without a remainder.
1, 3, 3167, 9501
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9496 and 9501, than apply into the LCM equation.
GCF(9496,9501) = 1
LCM(9496,9501) = ( 9496 × 9501) / 1
LCM(9496,9501) = 90221496 / 1
LCM(9496,9501) = 90221496
(i) The LCM of 9501 and 9496 is associative
LCM of 9496 and 9501 = LCM of 9501 and 9496
1. What is the LCM of 9496 and 9501?
Answer: LCM of 9496 and 9501 is 90221496.
2. What are the Factors of 9496?
Answer: Factors of 9496 are 1, 2, 4, 8, 1187, 2374, 4748, 9496. There are 8 integers that are factors of 9496. The greatest factor of 9496 is 9496.
3. What are the Factors of 9501?
Answer: Factors of 9501 are 1, 3, 3167, 9501. There are 4 integers that are factors of 9501. The greatest factor of 9501 is 9501.
4. How to Find the LCM of 9496 and 9501?
Answer:
Least Common Multiple of 9496 and 9501 = 90221496
Step 1: Find the prime factorization of 9496
9496 = 2 x 2 x 2 x 1187
Step 2: Find the prime factorization of 9501
9501 = 3 x 3167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90221496 = 2 x 2 x 2 x 3 x 1187 x 3167
Step 4: Therefore, the least common multiple of 9496 and 9501 is 90221496.