Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7492 and 7498 the smallest integer that is 28087508 that is divisible by both numbers.
Least Common Multiple (LCM) of 7492 and 7498 is 28087508.
LCM(7492,7498) = 28087508
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 7492 and 7498. First we will calculate the prime factors of 7492 and 7498.
Prime Factorization of 7492
2 | 7492 |
2 | 3746 |
1873 | 1873 |
1 |
Prime factors of 7492 are 2,1873. Prime factorization of 7492 in exponential form is:
7492 = 22×18731
Prime Factorization of 7498
2 | 7498 |
23 | 3749 |
163 | 163 |
1 |
Prime factors of 7498 are 2, 23,163. Prime factorization of 7498 in exponential form is:
7498 = 21×231×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 7492 and 7498.
LCM(7492,7498) = 22×231×1631×18731
LCM(7492,7498) = 28087508
Factors of 7492
List of positive integer factors of 7492 that divides 7492 without a remainder.
1, 2, 4, 1873, 3746, 7492
Factors of 7498
List of positive integer factors of 7498 that divides 7498 without a remainder.
1, 2, 23, 46, 163, 326, 3749, 7498
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7492 and 7498, than apply into the LCM equation.
GCF(7492,7498) = 2
LCM(7492,7498) = ( 7492 × 7498) / 2
LCM(7492,7498) = 56175016 / 2
LCM(7492,7498) = 28087508
(i) The LCM of 7498 and 7492 is associative
LCM of 7492 and 7498 = LCM of 7498 and 7492
1. What is the LCM of 7492 and 7498?
Answer: LCM of 7492 and 7498 is 28087508.
2. What are the Factors of 7492?
Answer: Factors of 7492 are 1, 2, 4, 1873, 3746, 7492. There are 6 integers that are factors of 7492. The greatest factor of 7492 is 7492.
3. What are the Factors of 7498?
Answer: Factors of 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498. There are 8 integers that are factors of 7498. The greatest factor of 7498 is 7498.
4. How to Find the LCM of 7492 and 7498?
Answer:
Least Common Multiple of 7492 and 7498 = 28087508
Step 1: Find the prime factorization of 7492
7492 = 2 x 2 x 1873
Step 2: Find the prime factorization of 7498
7498 = 2 x 23 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28087508 = 2 x 2 x 23 x 163 x 1873
Step 4: Therefore, the least common multiple of 7492 and 7498 is 28087508.