Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9453 and 9459 the smallest integer that is 29805309 that is divisible by both numbers.
Least Common Multiple (LCM) of 9453 and 9459 is 29805309.
LCM(9453,9459) = 29805309
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 9453 and 9459. First we will calculate the prime factors of 9453 and 9459.
Prime Factorization of 9453
3 | 9453 |
23 | 3151 |
137 | 137 |
1 |
Prime factors of 9453 are 3, 23,137. Prime factorization of 9453 in exponential form is:
9453 = 31×231×1371
Prime Factorization of 9459
3 | 9459 |
3 | 3153 |
1051 | 1051 |
1 |
Prime factors of 9459 are 3,1051. Prime factorization of 9459 in exponential form is:
9459 = 32×10511
Now multiplying the highest exponent prime factors to calculate the LCM of 9453 and 9459.
LCM(9453,9459) = 32×231×1371×10511
LCM(9453,9459) = 29805309
Factors of 9453
List of positive integer factors of 9453 that divides 9453 without a remainder.
1, 3, 23, 69, 137, 411, 3151, 9453
Factors of 9459
List of positive integer factors of 9459 that divides 9459 without a remainder.
1, 3, 9, 1051, 3153, 9459
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9453 and 9459, than apply into the LCM equation.
GCF(9453,9459) = 3
LCM(9453,9459) = ( 9453 × 9459) / 3
LCM(9453,9459) = 89415927 / 3
LCM(9453,9459) = 29805309
(i) The LCM of 9459 and 9453 is associative
LCM of 9453 and 9459 = LCM of 9459 and 9453
1. What is the LCM of 9453 and 9459?
Answer: LCM of 9453 and 9459 is 29805309.
2. What are the Factors of 9453?
Answer: Factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453. There are 8 integers that are factors of 9453. The greatest factor of 9453 is 9453.
3. What are the Factors of 9459?
Answer: Factors of 9459 are 1, 3, 9, 1051, 3153, 9459. There are 6 integers that are factors of 9459. The greatest factor of 9459 is 9459.
4. How to Find the LCM of 9453 and 9459?
Answer:
Least Common Multiple of 9453 and 9459 = 29805309
Step 1: Find the prime factorization of 9453
9453 = 3 x 23 x 137
Step 2: Find the prime factorization of 9459
9459 = 3 x 3 x 1051
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29805309 = 3 x 3 x 23 x 137 x 1051
Step 4: Therefore, the least common multiple of 9453 and 9459 is 29805309.