Least Common Multiple of 6462 and 6467
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6462 and 6467 the smallest integer that is 41789754 that is divisible by both numbers.
Least Common Multiple (LCM) of 6462 and 6467 is 41789754.
LCM(6462,6467) = 41789754
LCM of 6462 and 6467
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6462 and 6467 by Prime method
- Least Common Multiple of 6462 and 6467 with GCF Formula
LCM of 6462 and 6467 is 41789754
Least common multiple can be found by multiplying the highest exponent prime factors of 6462 and 6467. First we will calculate the prime factors of 6462 and 6467.
Prime Factorization of 6462
| 2 | 6462 |
| 3 | 3231 |
| 3 | 1077 |
| 359 | 359 |
| 1 |
Prime factors of 6462 are 2, 3,359. Prime factorization of 6462 in exponential form is:
6462 = 21×32×3591
Prime Factorization of 6467
| 29 | 6467 |
| 223 | 223 |
| 1 |
Prime factors of 6467 are 29,223. Prime factorization of 6467 in exponential form is:
6467 = 291×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 6462 and 6467.
LCM(6462,6467) = 21×32×291×2231×3591
LCM(6462,6467) = 41789754
Factors of 6462
List of positive integer factors of 6462 that divides 6462 without a remainder.
1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462
Factors of 6467
List of positive integer factors of 6467 that divides 6467 without a remainder.
1, 29, 223, 6467
Least Common Multiple of 6462 and 6467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6462 and 6467, than apply into the LCM equation.
GCF(6462,6467) = 1
LCM(6462,6467) = ( 6462 × 6467) / 1
LCM(6462,6467) = 41789754 / 1
LCM(6462,6467) = 41789754
Properties of LCM 6462 and 6467
(i) The LCM of 6467 and 6462 is associative
LCM of 6462 and 6467 = LCM of 6467 and 6462
Related Least Common Multiples of 6462
Related Least Common Multiples of 6467
Frequently Asked Questions on LCM of 6462 and 6467
1. What is the LCM of 6462 and 6467?
Answer: LCM of 6462 and 6467 is 41789754.
2. What are the Factors of 6462?
Answer: Factors of 6462 are 1, 2, 3, 6, 9, 18, 359, 718, 1077, 2154, 3231, 6462. There are 12 integers that are factors of 6462. The greatest factor of 6462 is 6462.
3. What are the Factors of 6467?
Answer: Factors of 6467 are 1, 29, 223, 6467. There are 4 integers that are factors of 6467. The greatest factor of 6467 is 6467.
4. How to Find the LCM of 6462 and 6467?
Answer:
Least Common Multiple of 6462 and 6467 = 41789754
Step 1: Find the prime factorization of 6462
6462 = 2 x 3 x 3 x 359
Step 2: Find the prime factorization of 6467
6467 = 29 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41789754 = 2 x 3 x 3 x 29 x 223 x 359
Step 4: Therefore, the least common multiple of 6462 and 6467 is 41789754.