Least Common Multiple of 6401 and 6402
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6401 and 6402 the smallest integer that is 40979202 that is divisible by both numbers.
Least Common Multiple (LCM) of 6401 and 6402 is 40979202.
LCM(6401,6402) = 40979202
LCM of 6401 and 6402
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6401 and 6402 by Prime method
- Least Common Multiple of 6401 and 6402 with GCF Formula
LCM of 6401 and 6402 is 40979202
Least common multiple can be found by multiplying the highest exponent prime factors of 6401 and 6402. First we will calculate the prime factors of 6401 and 6402.
Prime Factorization of 6401
| 37 | 6401 |
| 173 | 173 |
| 1 |
Prime factors of 6401 are 37,173. Prime factorization of 6401 in exponential form is:
6401 = 371×1731
Prime Factorization of 6402
| 2 | 6402 |
| 3 | 3201 |
| 11 | 1067 |
| 97 | 97 |
| 1 |
Prime factors of 6402 are 2, 3, 11,97. Prime factorization of 6402 in exponential form is:
6402 = 21×31×111×971
Now multiplying the highest exponent prime factors to calculate the LCM of 6401 and 6402.
LCM(6401,6402) = 21×31×111×371×971×1731
LCM(6401,6402) = 40979202
Factors of 6401
List of positive integer factors of 6401 that divides 6401 without a remainder.
1, 37, 173, 6401
Factors of 6402
List of positive integer factors of 6402 that divides 6402 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402
Least Common Multiple of 6401 and 6402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6401 and 6402, than apply into the LCM equation.
GCF(6401,6402) = 1
LCM(6401,6402) = ( 6401 × 6402) / 1
LCM(6401,6402) = 40979202 / 1
LCM(6401,6402) = 40979202
Properties of LCM 6401 and 6402
(i) The LCM of 6402 and 6401 is associative
LCM of 6401 and 6402 = LCM of 6402 and 6401
Related Least Common Multiples of 6401
Related Least Common Multiples of 6402
Frequently Asked Questions on LCM of 6401 and 6402
1. What is the LCM of 6401 and 6402?
Answer: LCM of 6401 and 6402 is 40979202.
2. What are the Factors of 6401?
Answer: Factors of 6401 are 1, 37, 173, 6401. There are 4 integers that are factors of 6401. The greatest factor of 6401 is 6401.
3. What are the Factors of 6402?
Answer: Factors of 6402 are 1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201, 6402. There are 16 integers that are factors of 6402. The greatest factor of 6402 is 6402.
4. How to Find the LCM of 6401 and 6402?
Answer:
Least Common Multiple of 6401 and 6402 = 40979202
Step 1: Find the prime factorization of 6401
6401 = 37 x 173
Step 2: Find the prime factorization of 6402
6402 = 2 x 3 x 11 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 = 40979202 = 2 x 3 x 11 x 37 x 97 x 173
Step 4: Therefore, the least common multiple of 6401 and 6402 is 40979202.