Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6427 and 6431 the smallest integer that is 41332037 that is divisible by both numbers.
Least Common Multiple (LCM) of 6427 and 6431 is 41332037.
LCM(6427,6431) = 41332037
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 6427 and 6431. First we will calculate the prime factors of 6427 and 6431.
Prime Factorization of 6427
6427 | 6427 |
1 |
Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:
6427 = 64271
Prime Factorization of 6431
59 | 6431 |
109 | 109 |
1 |
Prime factors of 6431 are 59,109. Prime factorization of 6431 in exponential form is:
6431 = 591×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 6427 and 6431.
LCM(6427,6431) = 591×1091×64271
LCM(6427,6431) = 41332037
Factors of 6427
List of positive integer factors of 6427 that divides 6427 without a remainder.
1, 6427
Factors of 6431
List of positive integer factors of 6431 that divides 6431 without a remainder.
1, 59, 109, 6431
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6427 and 6431, than apply into the LCM equation.
GCF(6427,6431) = 1
LCM(6427,6431) = ( 6427 × 6431) / 1
LCM(6427,6431) = 41332037 / 1
LCM(6427,6431) = 41332037
(i) The LCM of 6431 and 6427 is associative
LCM of 6427 and 6431 = LCM of 6431 and 6427
1. What is the LCM of 6427 and 6431?
Answer: LCM of 6427 and 6431 is 41332037.
2. 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.
3. What are the Factors of 6431?
Answer: Factors of 6431 are 1, 59, 109, 6431. There are 4 integers that are factors of 6431. The greatest factor of 6431 is 6431.
4. How to Find the LCM of 6427 and 6431?
Answer:
Least Common Multiple of 6427 and 6431 = 41332037
Step 1: Find the prime factorization of 6427
6427 = 6427
Step 2: Find the prime factorization of 6431
6431 = 59 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 41332037 = 59 x 109 x 6427
Step 4: Therefore, the least common multiple of 6427 and 6431 is 41332037.