Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7547 and 7555 the smallest integer that is 57017585 that is divisible by both numbers.
Least Common Multiple (LCM) of 7547 and 7555 is 57017585.
LCM(7547,7555) = 57017585
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 7547 and 7555. First we will calculate the prime factors of 7547 and 7555.
Prime Factorization of 7547
7547 | 7547 |
1 |
Prime factors of 7547 are 7547. Prime factorization of 7547 in exponential form is:
7547 = 75471
Prime Factorization of 7555
5 | 7555 |
1511 | 1511 |
1 |
Prime factors of 7555 are 5,1511. Prime factorization of 7555 in exponential form is:
7555 = 51×15111
Now multiplying the highest exponent prime factors to calculate the LCM of 7547 and 7555.
LCM(7547,7555) = 51×15111×75471
LCM(7547,7555) = 57017585
Factors of 7547
List of positive integer factors of 7547 that divides 7547 without a remainder.
1, 7547
Factors of 7555
List of positive integer factors of 7555 that divides 7555 without a remainder.
1, 5, 1511, 7555
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7547 and 7555, than apply into the LCM equation.
GCF(7547,7555) = 1
LCM(7547,7555) = ( 7547 × 7555) / 1
LCM(7547,7555) = 57017585 / 1
LCM(7547,7555) = 57017585
(i) The LCM of 7555 and 7547 is associative
LCM of 7547 and 7555 = LCM of 7555 and 7547
1. What is the LCM of 7547 and 7555?
Answer: LCM of 7547 and 7555 is 57017585.
2. What are the Factors of 7547?
Answer: Factors of 7547 are 1, 7547. There are 2 integers that are factors of 7547. The greatest factor of 7547 is 7547.
3. What are the Factors of 7555?
Answer: Factors of 7555 are 1, 5, 1511, 7555. There are 4 integers that are factors of 7555. The greatest factor of 7555 is 7555.
4. How to Find the LCM of 7547 and 7555?
Answer:
Least Common Multiple of 7547 and 7555 = 57017585
Step 1: Find the prime factorization of 7547
7547 = 7547
Step 2: Find the prime factorization of 7555
7555 = 5 x 1511
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57017585 = 5 x 1511 x 7547
Step 4: Therefore, the least common multiple of 7547 and 7555 is 57017585.