Least Common Multiple of 6422 and 6427
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6422 and 6427 the smallest integer that is 41274194 that is divisible by both numbers.
Least Common Multiple (LCM) of 6422 and 6427 is 41274194.
LCM(6422,6427) = 41274194
LCM of 6422 and 6427
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6422 and 6427 by Prime method
- Least Common Multiple of 6422 and 6427 with GCF Formula
LCM of 6422 and 6427 is 41274194
Least common multiple can be found by multiplying the highest exponent prime factors of 6422 and 6427. First we will calculate the prime factors of 6422 and 6427.
Prime Factorization of 6422
| 2 | 6422 |
| 13 | 3211 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 6422 are 2, 13,19. Prime factorization of 6422 in exponential form is:
6422 = 21×132×191
Prime Factorization of 6427
| 6427 | 6427 |
| 1 |
Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:
6427 = 64271
Now multiplying the highest exponent prime factors to calculate the LCM of 6422 and 6427.
LCM(6422,6427) = 21×132×191×64271
LCM(6422,6427) = 41274194
Factors of 6422
List of positive integer factors of 6422 that divides 6422 without a remainder.
1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422
Factors of 6427
List of positive integer factors of 6427 that divides 6427 without a remainder.
1, 6427
Least Common Multiple of 6422 and 6427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6422 and 6427, than apply into the LCM equation.
GCF(6422,6427) = 1
LCM(6422,6427) = ( 6422 × 6427) / 1
LCM(6422,6427) = 41274194 / 1
LCM(6422,6427) = 41274194
Properties of LCM 6422 and 6427
(i) The LCM of 6427 and 6422 is associative
LCM of 6422 and 6427 = LCM of 6427 and 6422
Related Least Common Multiples of 6422
Related Least Common Multiples of 6427
Frequently Asked Questions on LCM of 6422 and 6427
1. What is the LCM of 6422 and 6427?
Answer: LCM of 6422 and 6427 is 41274194.
2. What are the Factors of 6422?
Answer: Factors of 6422 are 1, 2, 13, 19, 26, 38, 169, 247, 338, 494, 3211, 6422. There are 12 integers that are factors of 6422. The greatest factor of 6422 is 6422.
3. What are the Factors of 6427?
Answer: Factors of 6427 are 1, 6427. There are 2 integers that are factors of 6427. The greatest factor of 6427 is 6427.
4. How to Find the LCM of 6422 and 6427?
Answer:
Least Common Multiple of 6422 and 6427 = 41274194
Step 1: Find the prime factorization of 6422
6422 = 2 x 13 x 13 x 19
Step 2: Find the prime factorization of 6427
6427 = 6427
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41274194 = 2 x 13 x 13 x 19 x 6427
Step 4: Therefore, the least common multiple of 6422 and 6427 is 41274194.