Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7526 and 7534 the smallest integer that is 28350442 that is divisible by both numbers.
Least Common Multiple (LCM) of 7526 and 7534 is 28350442.
LCM(7526,7534) = 28350442
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 7526 and 7534. First we will calculate the prime factors of 7526 and 7534.
Prime Factorization of 7526
2 | 7526 |
53 | 3763 |
71 | 71 |
1 |
Prime factors of 7526 are 2, 53,71. Prime factorization of 7526 in exponential form is:
7526 = 21×531×711
Prime Factorization of 7534
2 | 7534 |
3767 | 3767 |
1 |
Prime factors of 7534 are 2,3767. Prime factorization of 7534 in exponential form is:
7534 = 21×37671
Now multiplying the highest exponent prime factors to calculate the LCM of 7526 and 7534.
LCM(7526,7534) = 21×531×711×37671
LCM(7526,7534) = 28350442
Factors of 7526
List of positive integer factors of 7526 that divides 7526 without a remainder.
1, 2, 53, 71, 106, 142, 3763, 7526
Factors of 7534
List of positive integer factors of 7534 that divides 7534 without a remainder.
1, 2, 3767, 7534
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7526 and 7534, than apply into the LCM equation.
GCF(7526,7534) = 2
LCM(7526,7534) = ( 7526 × 7534) / 2
LCM(7526,7534) = 56700884 / 2
LCM(7526,7534) = 28350442
(i) The LCM of 7534 and 7526 is associative
LCM of 7526 and 7534 = LCM of 7534 and 7526
1. What is the LCM of 7526 and 7534?
Answer: LCM of 7526 and 7534 is 28350442.
2. What are the Factors of 7526?
Answer: Factors of 7526 are 1, 2, 53, 71, 106, 142, 3763, 7526. There are 8 integers that are factors of 7526. The greatest factor of 7526 is 7526.
3. What are the Factors of 7534?
Answer: Factors of 7534 are 1, 2, 3767, 7534. There are 4 integers that are factors of 7534. The greatest factor of 7534 is 7534.
4. How to Find the LCM of 7526 and 7534?
Answer:
Least Common Multiple of 7526 and 7534 = 28350442
Step 1: Find the prime factorization of 7526
7526 = 2 x 53 x 71
Step 2: Find the prime factorization of 7534
7534 = 2 x 3767
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28350442 = 2 x 53 x 71 x 3767
Step 4: Therefore, the least common multiple of 7526 and 7534 is 28350442.