Least Common Multiple of 7330 and 7335
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7330 and 7335 the smallest integer that is 10753110 that is divisible by both numbers.
Least Common Multiple (LCM) of 7330 and 7335 is 10753110.
LCM(7330,7335) = 10753110
LCM of 7330 and 7335
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7330 and 7335 by Prime method
- Least Common Multiple of 7330 and 7335 with GCF Formula
LCM of 7330 and 7335 is 10753110
Least common multiple can be found by multiplying the highest exponent prime factors of 7330 and 7335. First we will calculate the prime factors of 7330 and 7335.
Prime Factorization of 7330
| 2 | 7330 |
| 5 | 3665 |
| 733 | 733 |
| 1 |
Prime factors of 7330 are 2, 5,733. Prime factorization of 7330 in exponential form is:
7330 = 21×51×7331
Prime Factorization of 7335
| 3 | 7335 |
| 3 | 2445 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 7335 are 3, 5,163. Prime factorization of 7335 in exponential form is:
7335 = 32×51×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7330 and 7335.
LCM(7330,7335) = 21×32×51×1631×7331
LCM(7330,7335) = 10753110
Factors of 7330
List of positive integer factors of 7330 that divides 7330 without a remainder.
1, 2, 5, 10, 733, 1466, 3665, 7330
Factors of 7335
List of positive integer factors of 7335 that divides 7335 without a remainder.
1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335
Least Common Multiple of 7330 and 7335 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7330 and 7335, than apply into the LCM equation.
GCF(7330,7335) = 5
LCM(7330,7335) = ( 7330 × 7335) / 5
LCM(7330,7335) = 53765550 / 5
LCM(7330,7335) = 10753110
Properties of LCM 7330 and 7335
(i) The LCM of 7335 and 7330 is associative
LCM of 7330 and 7335 = LCM of 7335 and 7330
Related Least Common Multiples of 7330
Related Least Common Multiples of 7335
Frequently Asked Questions on LCM of 7330 and 7335
1. What is the LCM of 7330 and 7335?
Answer: LCM of 7330 and 7335 is 10753110.
2. What are the Factors of 7330?
Answer: Factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330. There are 8 integers that are factors of 7330. The greatest factor of 7330 is 7330.
3. What are the Factors of 7335?
Answer: Factors of 7335 are 1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445, 7335. There are 12 integers that are factors of 7335. The greatest factor of 7335 is 7335.
4. How to Find the LCM of 7330 and 7335?
Answer:
Least Common Multiple of 7330 and 7335 = 10753110
Step 1: Find the prime factorization of 7330
7330 = 2 x 5 x 733
Step 2: Find the prime factorization of 7335
7335 = 3 x 3 x 5 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10753110 = 2 x 3 x 3 x 5 x 163 x 733
Step 4: Therefore, the least common multiple of 7330 and 7335 is 10753110.