Least Common Multiple of 402 and 403
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 402 and 403 the smallest integer that is 162006 that is divisible by both numbers.
Least Common Multiple (LCM) of 402 and 403 is 162006.
LCM(402,403) = 162006
LCM of 402 and 403
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 402 and 403 by Prime method
- Least Common Multiple of 402 and 403 with GCF Formula
LCM of 402 and 403 is 162006
Least common multiple can be found by multiplying the highest exponent prime factors of 402 and 403. First we will calculate the prime factors of 402 and 403.
Prime Factorization of 402
| 2 | 402 |
| 3 | 201 |
| 67 | 67 |
| 1 |
Prime factors of 402 are 2, 3,67. Prime factorization of 402 in exponential form is:
402 = 21×31×671
Prime Factorization of 403
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 403 are 13,31. Prime factorization of 403 in exponential form is:
403 = 131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 402 and 403.
LCM(402,403) = 21×31×131×311×671
LCM(402,403) = 162006
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Least Common Multiple of 402 and 403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 402 and 403, than apply into the LCM equation.
GCF(402,403) = 1
LCM(402,403) = ( 402 × 403) / 1
LCM(402,403) = 162006 / 1
LCM(402,403) = 162006
Properties of LCM 402 and 403
(i) The LCM of 403 and 402 is associative
LCM of 402 and 403 = LCM of 403 and 402
Related Least Common Multiples of 402
Related Least Common Multiples of 403
Frequently Asked Questions on LCM of 402 and 403
1. What is the LCM of 402 and 403?
Answer: LCM of 402 and 403 is 162006.
2. What are the Factors of 402?
Answer: Factors of 402 are 1, 2, 3, 6, 67, 134, 201, 402. There are 8 integers that are factors of 402. The greatest factor of 402 is 402.
3. What are the Factors of 403?
Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.
4. How to Find the LCM of 402 and 403?
Answer:
Least Common Multiple of 402 and 403 = 162006
Step 1: Find the prime factorization of 402
402 = 2 x 3 x 67
Step 2: Find the prime factorization of 403
403 = 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 162006 = 2 x 3 x 13 x 31 x 67
Step 4: Therefore, the least common multiple of 402 and 403 is 162006.
