Least Common Multiple of 9335 and 9342
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9335 and 9342 the smallest integer that is 87207570 that is divisible by both numbers.
Least Common Multiple (LCM) of 9335 and 9342 is 87207570.
LCM(9335,9342) = 87207570
LCM of 9335 and 9342
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9335 and 9342 by Prime method
- Least Common Multiple of 9335 and 9342 with GCF Formula
LCM of 9335 and 9342 is 87207570
Least common multiple can be found by multiplying the highest exponent prime factors of 9335 and 9342. First we will calculate the prime factors of 9335 and 9342.
Prime Factorization of 9335
| 5 | 9335 |
| 1867 | 1867 |
| 1 |
Prime factors of 9335 are 5,1867. Prime factorization of 9335 in exponential form is:
9335 = 51×18671
Prime Factorization of 9342
| 2 | 9342 |
| 3 | 4671 |
| 3 | 1557 |
| 3 | 519 |
| 173 | 173 |
| 1 |
Prime factors of 9342 are 2, 3,173. Prime factorization of 9342 in exponential form is:
9342 = 21×33×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 9335 and 9342.
LCM(9335,9342) = 21×33×51×1731×18671
LCM(9335,9342) = 87207570
Factors of 9335
List of positive integer factors of 9335 that divides 9335 without a remainder.
1, 5, 1867, 9335
Factors of 9342
List of positive integer factors of 9342 that divides 9342 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342
Least Common Multiple of 9335 and 9342 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9335 and 9342, than apply into the LCM equation.
GCF(9335,9342) = 1
LCM(9335,9342) = ( 9335 × 9342) / 1
LCM(9335,9342) = 87207570 / 1
LCM(9335,9342) = 87207570
Properties of LCM 9335 and 9342
(i) The LCM of 9342 and 9335 is associative
LCM of 9335 and 9342 = LCM of 9342 and 9335
Related Least Common Multiples of 9335
Related Least Common Multiples of 9342
Frequently Asked Questions on LCM of 9335 and 9342
1. What is the LCM of 9335 and 9342?
Answer: LCM of 9335 and 9342 is 87207570.
2. What are the Factors of 9335?
Answer: Factors of 9335 are 1, 5, 1867, 9335. There are 4 integers that are factors of 9335. The greatest factor of 9335 is 9335.
3. What are the Factors of 9342?
Answer: Factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342. There are 16 integers that are factors of 9342. The greatest factor of 9342 is 9342.
4. How to Find the LCM of 9335 and 9342?
Answer:
Least Common Multiple of 9335 and 9342 = 87207570
Step 1: Find the prime factorization of 9335
9335 = 5 x 1867
Step 2: Find the prime factorization of 9342
9342 = 2 x 3 x 3 x 3 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87207570 = 2 x 3 x 3 x 3 x 5 x 173 x 1867
Step 4: Therefore, the least common multiple of 9335 and 9342 is 87207570.