Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9498 and 9502 the smallest integer that is 45124998 that is divisible by both numbers.
Least Common Multiple (LCM) of 9498 and 9502 is 45124998.
LCM(9498,9502) = 45124998
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 9498 and 9502. First we will calculate the prime factors of 9498 and 9502.
Prime Factorization of 9498
2 | 9498 |
3 | 4749 |
1583 | 1583 |
1 |
Prime factors of 9498 are 2, 3,1583. Prime factorization of 9498 in exponential form is:
9498 = 21×31×15831
Prime Factorization of 9502
2 | 9502 |
4751 | 4751 |
1 |
Prime factors of 9502 are 2,4751. Prime factorization of 9502 in exponential form is:
9502 = 21×47511
Now multiplying the highest exponent prime factors to calculate the LCM of 9498 and 9502.
LCM(9498,9502) = 21×31×15831×47511
LCM(9498,9502) = 45124998
Factors of 9498
List of positive integer factors of 9498 that divides 9498 without a remainder.
1, 2, 3, 6, 1583, 3166, 4749, 9498
Factors of 9502
List of positive integer factors of 9502 that divides 9502 without a remainder.
1, 2, 4751, 9502
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9498 and 9502, than apply into the LCM equation.
GCF(9498,9502) = 2
LCM(9498,9502) = ( 9498 × 9502) / 2
LCM(9498,9502) = 90249996 / 2
LCM(9498,9502) = 45124998
(i) The LCM of 9502 and 9498 is associative
LCM of 9498 and 9502 = LCM of 9502 and 9498
1. What is the LCM of 9498 and 9502?
Answer: LCM of 9498 and 9502 is 45124998.
2. What are the Factors of 9498?
Answer: Factors of 9498 are 1, 2, 3, 6, 1583, 3166, 4749, 9498. There are 8 integers that are factors of 9498. The greatest factor of 9498 is 9498.
3. What are the Factors of 9502?
Answer: Factors of 9502 are 1, 2, 4751, 9502. There are 4 integers that are factors of 9502. The greatest factor of 9502 is 9502.
4. How to Find the LCM of 9498 and 9502?
Answer:
Least Common Multiple of 9498 and 9502 = 45124998
Step 1: Find the prime factorization of 9498
9498 = 2 x 3 x 1583
Step 2: Find the prime factorization of 9502
9502 = 2 x 4751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 45124998 = 2 x 3 x 1583 x 4751
Step 4: Therefore, the least common multiple of 9498 and 9502 is 45124998.