Least Common Multiple of 7527 and 7532
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7527 and 7532 the smallest integer that is 56693364 that is divisible by both numbers.
Least Common Multiple (LCM) of 7527 and 7532 is 56693364.
LCM(7527,7532) = 56693364
LCM of 7527 and 7532
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7527 and 7532 by Prime method
- Least Common Multiple of 7527 and 7532 with GCF Formula
LCM of 7527 and 7532 is 56693364
Least common multiple can be found by multiplying the highest exponent prime factors of 7527 and 7532. First we will calculate the prime factors of 7527 and 7532.
Prime Factorization of 7527
| 3 | 7527 |
| 13 | 2509 |
| 193 | 193 |
| 1 |
Prime factors of 7527 are 3, 13,193. Prime factorization of 7527 in exponential form is:
7527 = 31×131×1931
Prime Factorization of 7532
| 2 | 7532 |
| 2 | 3766 |
| 7 | 1883 |
| 269 | 269 |
| 1 |
Prime factors of 7532 are 2, 7,269. Prime factorization of 7532 in exponential form is:
7532 = 22×71×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 7527 and 7532.
LCM(7527,7532) = 22×31×71×131×1931×2691
LCM(7527,7532) = 56693364
Factors of 7527
List of positive integer factors of 7527 that divides 7527 without a remainder.
1, 3, 13, 39, 193, 579, 2509, 7527
Factors of 7532
List of positive integer factors of 7532 that divides 7532 without a remainder.
1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532
Least Common Multiple of 7527 and 7532 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7527 and 7532, than apply into the LCM equation.
GCF(7527,7532) = 1
LCM(7527,7532) = ( 7527 × 7532) / 1
LCM(7527,7532) = 56693364 / 1
LCM(7527,7532) = 56693364
Properties of LCM 7527 and 7532
(i) The LCM of 7532 and 7527 is associative
LCM of 7527 and 7532 = LCM of 7532 and 7527
Related Least Common Multiples of 7527
Related Least Common Multiples of 7532
Frequently Asked Questions on LCM of 7527 and 7532
1. What is the LCM of 7527 and 7532?
Answer: LCM of 7527 and 7532 is 56693364.
2. What are the Factors of 7527?
Answer: Factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527. There are 8 integers that are factors of 7527. The greatest factor of 7527 is 7527.
3. What are the Factors of 7532?
Answer: Factors of 7532 are 1, 2, 4, 7, 14, 28, 269, 538, 1076, 1883, 3766, 7532. There are 12 integers that are factors of 7532. The greatest factor of 7532 is 7532.
4. How to Find the LCM of 7527 and 7532?
Answer:
Least Common Multiple of 7527 and 7532 = 56693364
Step 1: Find the prime factorization of 7527
7527 = 3 x 13 x 193
Step 2: Find the prime factorization of 7532
7532 = 2 x 2 x 7 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56693364 = 2 x 2 x 3 x 7 x 13 x 193 x 269
Step 4: Therefore, the least common multiple of 7527 and 7532 is 56693364.
