Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9460 and 9465 the smallest integer that is 17907780 that is divisible by both numbers.
Least Common Multiple (LCM) of 9460 and 9465 is 17907780.
LCM(9460,9465) = 17907780
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 9460 and 9465. First we will calculate the prime factors of 9460 and 9465.
Prime Factorization of 9460
2 | 9460 |
2 | 4730 |
5 | 2365 |
11 | 473 |
43 | 43 |
1 |
Prime factors of 9460 are 2, 5, 11,43. Prime factorization of 9460 in exponential form is:
9460 = 22×51×111×431
Prime Factorization of 9465
3 | 9465 |
5 | 3155 |
631 | 631 |
1 |
Prime factors of 9465 are 3, 5,631. Prime factorization of 9465 in exponential form is:
9465 = 31×51×6311
Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9465.
LCM(9460,9465) = 22×31×51×111×431×6311
LCM(9460,9465) = 17907780
Factors of 9460
List of positive integer factors of 9460 that divides 9460 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460
Factors of 9465
List of positive integer factors of 9465 that divides 9465 without a remainder.
1, 3, 5, 15, 631, 1893, 3155, 9465
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9460 and 9465, than apply into the LCM equation.
GCF(9460,9465) = 5
LCM(9460,9465) = ( 9460 × 9465) / 5
LCM(9460,9465) = 89538900 / 5
LCM(9460,9465) = 17907780
(i) The LCM of 9465 and 9460 is associative
LCM of 9460 and 9465 = LCM of 9465 and 9460
1. What is the LCM of 9460 and 9465?
Answer: LCM of 9460 and 9465 is 17907780.
2. What are the Factors of 9460?
Answer: Factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460. There are 24 integers that are factors of 9460. The greatest factor of 9460 is 9460.
3. What are the Factors of 9465?
Answer: Factors of 9465 are 1, 3, 5, 15, 631, 1893, 3155, 9465. There are 8 integers that are factors of 9465. The greatest factor of 9465 is 9465.
4. How to Find the LCM of 9460 and 9465?
Answer:
Least Common Multiple of 9460 and 9465 = 17907780
Step 1: Find the prime factorization of 9460
9460 = 2 x 2 x 5 x 11 x 43
Step 2: Find the prime factorization of 9465
9465 = 3 x 5 x 631
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17907780 = 2 x 2 x 3 x 5 x 11 x 43 x 631
Step 4: Therefore, the least common multiple of 9460 and 9465 is 17907780.