Least Common Multiple of 7530 and 7535
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7530 and 7535 the smallest integer that is 11347710 that is divisible by both numbers.
Least Common Multiple (LCM) of 7530 and 7535 is 11347710.
LCM(7530,7535) = 11347710
LCM of 7530 and 7535
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7530 and 7535 by Prime method
- Least Common Multiple of 7530 and 7535 with GCF Formula
LCM of 7530 and 7535 is 11347710
Least common multiple can be found by multiplying the highest exponent prime factors of 7530 and 7535. First we will calculate the prime factors of 7530 and 7535.
Prime Factorization of 7530
| 2 | 7530 |
| 3 | 3765 |
| 5 | 1255 |
| 251 | 251 |
| 1 |
Prime factors of 7530 are 2, 3, 5,251. Prime factorization of 7530 in exponential form is:
7530 = 21×31×51×2511
Prime Factorization of 7535
| 5 | 7535 |
| 11 | 1507 |
| 137 | 137 |
| 1 |
Prime factors of 7535 are 5, 11,137. Prime factorization of 7535 in exponential form is:
7535 = 51×111×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 7530 and 7535.
LCM(7530,7535) = 21×31×51×111×1371×2511
LCM(7530,7535) = 11347710
Factors of 7530
List of positive integer factors of 7530 that divides 7530 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530
Factors of 7535
List of positive integer factors of 7535 that divides 7535 without a remainder.
1, 5, 11, 55, 137, 685, 1507, 7535
Least Common Multiple of 7530 and 7535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7530 and 7535, than apply into the LCM equation.
GCF(7530,7535) = 5
LCM(7530,7535) = ( 7530 × 7535) / 5
LCM(7530,7535) = 56738550 / 5
LCM(7530,7535) = 11347710
Properties of LCM 7530 and 7535
(i) The LCM of 7535 and 7530 is associative
LCM of 7530 and 7535 = LCM of 7535 and 7530
Related Least Common Multiples of 7530
Related Least Common Multiples of 7535
Frequently Asked Questions on LCM of 7530 and 7535
1. What is the LCM of 7530 and 7535?
Answer: LCM of 7530 and 7535 is 11347710.
2. What are the Factors of 7530?
Answer: Factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530. There are 16 integers that are factors of 7530. The greatest factor of 7530 is 7530.
3. What are the Factors of 7535?
Answer: Factors of 7535 are 1, 5, 11, 55, 137, 685, 1507, 7535. There are 8 integers that are factors of 7535. The greatest factor of 7535 is 7535.
4. How to Find the LCM of 7530 and 7535?
Answer:
Least Common Multiple of 7530 and 7535 = 11347710
Step 1: Find the prime factorization of 7530
7530 = 2 x 3 x 5 x 251
Step 2: Find the prime factorization of 7535
7535 = 5 x 11 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 11347710 = 2 x 3 x 5 x 11 x 137 x 251
Step 4: Therefore, the least common multiple of 7530 and 7535 is 11347710.