Least Common Multiple of 6493 and 6499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6493 and 6499 the smallest integer that is 42198007 that is divisible by both numbers.
Least Common Multiple (LCM) of 6493 and 6499 is 42198007.
LCM(6493,6499) = 42198007
LCM of 6493 and 6499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6493 and 6499 by Prime method
- Least Common Multiple of 6493 and 6499 with GCF Formula
LCM of 6493 and 6499 is 42198007
Least common multiple can be found by multiplying the highest exponent prime factors of 6493 and 6499. First we will calculate the prime factors of 6493 and 6499.
Prime Factorization of 6493
| 43 | 6493 |
| 151 | 151 |
| 1 |
Prime factors of 6493 are 43,151. Prime factorization of 6493 in exponential form is:
6493 = 431×1511
Prime Factorization of 6499
| 67 | 6499 |
| 97 | 97 |
| 1 |
Prime factors of 6499 are 67,97. Prime factorization of 6499 in exponential form is:
6499 = 671×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6493 and 6499.
LCM(6493,6499) = 431×671×971×1511
LCM(6493,6499) = 42198007
Factors of 6493
List of positive integer factors of 6493 that divides 6493 without a remainder.
1, 43, 151, 6493
Factors of 6499
List of positive integer factors of 6499 that divides 6499 without a remainder.
1, 67, 97, 6499
Least Common Multiple of 6493 and 6499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6493 and 6499, than apply into the LCM equation.
GCF(6493,6499) = 1
LCM(6493,6499) = ( 6493 × 6499) / 1
LCM(6493,6499) = 42198007 / 1
LCM(6493,6499) = 42198007
Properties of LCM 6493 and 6499
(i) The LCM of 6499 and 6493 is associative
LCM of 6493 and 6499 = LCM of 6499 and 6493
Related Least Common Multiples of 6493
Related Least Common Multiples of 6499
Frequently Asked Questions on LCM of 6493 and 6499
1. What is the LCM of 6493 and 6499?
Answer: LCM of 6493 and 6499 is 42198007.
2. What are the Factors of 6493?
Answer: Factors of 6493 are 1, 43, 151, 6493. There are 4 integers that are factors of 6493. The greatest factor of 6493 is 6493.
3. What are the Factors of 6499?
Answer: Factors of 6499 are 1, 67, 97, 6499. There are 4 integers that are factors of 6499. The greatest factor of 6499 is 6499.
4. How to Find the LCM of 6493 and 6499?
Answer:
Least Common Multiple of 6493 and 6499 = 42198007
Step 1: Find the prime factorization of 6493
6493 = 43 x 151
Step 2: Find the prime factorization of 6499
6499 = 67 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 42198007 = 43 x 67 x 97 x 151
Step 4: Therefore, the least common multiple of 6493 and 6499 is 42198007.