Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 497 and 499 the smallest integer that is 248003 that is divisible by both numbers.
Least Common Multiple (LCM) of 497 and 499 is 248003.
LCM(497,499) = 248003
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 497 and 499. First we will calculate the prime factors of 497 and 499.
Prime Factorization of 497
7 | 497 |
71 | 71 |
1 |
Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:
497 = 71×711
Prime Factorization of 499
499 | 499 |
1 |
Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:
499 = 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 497 and 499.
LCM(497,499) = 71×711×4991
LCM(497,499) = 248003
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1, 499
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 497 and 499, than apply into the LCM equation.
GCF(497,499) = 1
LCM(497,499) = ( 497 × 499) / 1
LCM(497,499) = 248003 / 1
LCM(497,499) = 248003
(i) The LCM of 499 and 497 is associative
LCM of 497 and 499 = LCM of 499 and 497
1. What is the LCM of 497 and 499?
Answer: LCM of 497 and 499 is 248003.
2. What are the Factors of 497?
Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.
3. What are the Factors of 499?
Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.
4. How to Find the LCM of 497 and 499?
Answer:
Least Common Multiple of 497 and 499 = 248003
Step 1: Find the prime factorization of 497
497 = 7 x 71
Step 2: Find the prime factorization of 499
499 = 499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 248003 = 7 x 71 x 499
Step 4: Therefore, the least common multiple of 497 and 499 is 248003.