Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7495 and 7496 the smallest integer that is 56182520 that is divisible by both numbers.
Least Common Multiple (LCM) of 7495 and 7496 is 56182520.
LCM(7495,7496) = 56182520
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 7495 and 7496. First we will calculate the prime factors of 7495 and 7496.
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
Prime Factorization of 7496
2 | 7496 |
2 | 3748 |
2 | 1874 |
937 | 937 |
1 |
Prime factors of 7496 are 2,937. Prime factorization of 7496 in exponential form is:
7496 = 23×9371
Now multiplying the highest exponent prime factors to calculate the LCM of 7495 and 7496.
LCM(7495,7496) = 23×51×9371×14991
LCM(7495,7496) = 56182520
Factors of 7495
List of positive integer factors of 7495 that divides 7495 without a remainder.
1, 5, 1499, 7495
Factors of 7496
List of positive integer factors of 7496 that divides 7496 without a remainder.
1, 2, 4, 8, 937, 1874, 3748, 7496
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7495 and 7496, than apply into the LCM equation.
GCF(7495,7496) = 1
LCM(7495,7496) = ( 7495 × 7496) / 1
LCM(7495,7496) = 56182520 / 1
LCM(7495,7496) = 56182520
(i) The LCM of 7496 and 7495 is associative
LCM of 7495 and 7496 = LCM of 7496 and 7495
1. What is the LCM of 7495 and 7496?
Answer: LCM of 7495 and 7496 is 56182520.
2. 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.
3. What are the Factors of 7496?
Answer: Factors of 7496 are 1, 2, 4, 8, 937, 1874, 3748, 7496. There are 8 integers that are factors of 7496. The greatest factor of 7496 is 7496.
4. How to Find the LCM of 7495 and 7496?
Answer:
Least Common Multiple of 7495 and 7496 = 56182520
Step 1: Find the prime factorization of 7495
7495 = 5 x 1499
Step 2: Find the prime factorization of 7496
7496 = 2 x 2 x 2 x 937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56182520 = 2 x 2 x 2 x 5 x 937 x 1499
Step 4: Therefore, the least common multiple of 7495 and 7496 is 56182520.