Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9651 and 9658 the smallest integer that is 93209358 that is divisible by both numbers.
Least Common Multiple (LCM) of 9651 and 9658 is 93209358.
LCM(9651,9658) = 93209358
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 9651 and 9658. First we will calculate the prime factors of 9651 and 9658.
Prime Factorization of 9651
3 | 9651 |
3217 | 3217 |
1 |
Prime factors of 9651 are 3,3217. Prime factorization of 9651 in exponential form is:
9651 = 31×32171
Prime Factorization of 9658
2 | 9658 |
11 | 4829 |
439 | 439 |
1 |
Prime factors of 9658 are 2, 11,439. Prime factorization of 9658 in exponential form is:
9658 = 21×111×4391
Now multiplying the highest exponent prime factors to calculate the LCM of 9651 and 9658.
LCM(9651,9658) = 21×31×111×4391×32171
LCM(9651,9658) = 93209358
Factors of 9651
List of positive integer factors of 9651 that divides 9651 without a remainder.
1, 3, 3217, 9651
Factors of 9658
List of positive integer factors of 9658 that divides 9658 without a remainder.
1, 2, 11, 22, 439, 878, 4829, 9658
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9651 and 9658, than apply into the LCM equation.
GCF(9651,9658) = 1
LCM(9651,9658) = ( 9651 × 9658) / 1
LCM(9651,9658) = 93209358 / 1
LCM(9651,9658) = 93209358
(i) The LCM of 9658 and 9651 is associative
LCM of 9651 and 9658 = LCM of 9658 and 9651
1. What is the LCM of 9651 and 9658?
Answer: LCM of 9651 and 9658 is 93209358.
2. What are the Factors of 9651?
Answer: Factors of 9651 are 1, 3, 3217, 9651. There are 4 integers that are factors of 9651. The greatest factor of 9651 is 9651.
3. What are the Factors of 9658?
Answer: Factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658. There are 8 integers that are factors of 9658. The greatest factor of 9658 is 9658.
4. How to Find the LCM of 9651 and 9658?
Answer:
Least Common Multiple of 9651 and 9658 = 93209358
Step 1: Find the prime factorization of 9651
9651 = 3 x 3217
Step 2: Find the prime factorization of 9658
9658 = 2 x 11 x 439
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93209358 = 2 x 3 x 11 x 439 x 3217
Step 4: Therefore, the least common multiple of 9651 and 9658 is 93209358.