Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7487 and 7495 the smallest integer that is 56115065 that is divisible by both numbers.
Least Common Multiple (LCM) of 7487 and 7495 is 56115065.
LCM(7487,7495) = 56115065
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 7487 and 7495. First we will calculate the prime factors of 7487 and 7495.
Prime Factorization of 7487
7487 | 7487 |
1 |
Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:
7487 = 74871
Prime Factorization of 7495
5 | 7495 |
1499 | 1499 |
1 |
Prime factors of 7495 are 5,1499. Prime factorization of 7495 in exponential form is:
7495 = 51×14991
Now multiplying the highest exponent prime factors to calculate the LCM of 7487 and 7495.
LCM(7487,7495) = 51×14991×74871
LCM(7487,7495) = 56115065
Factors of 7487
List of positive integer factors of 7487 that divides 7487 without a remainder.
1, 7487
Factors of 7495
List of positive integer factors of 7495 that divides 7495 without a remainder.
1, 5, 1499, 7495
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7487 and 7495, than apply into the LCM equation.
GCF(7487,7495) = 1
LCM(7487,7495) = ( 7487 × 7495) / 1
LCM(7487,7495) = 56115065 / 1
LCM(7487,7495) = 56115065
(i) The LCM of 7495 and 7487 is associative
LCM of 7487 and 7495 = LCM of 7495 and 7487
1. What is the LCM of 7487 and 7495?
Answer: LCM of 7487 and 7495 is 56115065.
2. What are the Factors of 7487?
Answer: Factors of 7487 are 1, 7487. There are 2 integers that are factors of 7487. The greatest factor of 7487 is 7487.
3. What are the Factors of 7495?
Answer: Factors of 7495 are 1, 5, 1499, 7495. There are 4 integers that are factors of 7495. The greatest factor of 7495 is 7495.
4. How to Find the LCM of 7487 and 7495?
Answer:
Least Common Multiple of 7487 and 7495 = 56115065
Step 1: Find the prime factorization of 7487
7487 = 7487
Step 2: Find the prime factorization of 7495
7495 = 5 x 1499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56115065 = 5 x 1499 x 7487
Step 4: Therefore, the least common multiple of 7487 and 7495 is 56115065.