Least Common Multiple of 403 and 411
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 403 and 411 the smallest integer that is 165633 that is divisible by both numbers.
Least Common Multiple (LCM) of 403 and 411 is 165633.
LCM(403,411) = 165633
LCM of 403 and 411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 403 and 411 by Prime method
- Least Common Multiple of 403 and 411 with GCF Formula
LCM of 403 and 411 is 165633
Least common multiple can be found by multiplying the highest exponent prime factors of 403 and 411. First we will calculate the prime factors of 403 and 411.
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
Prime Factorization of 411
| 3 | 411 |
| 137 | 137 |
| 1 |
Prime factors of 411 are 3,137. Prime factorization of 411 in exponential form is:
411 = 31×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 403 and 411.
LCM(403,411) = 31×131×311×1371
LCM(403,411) = 165633
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Least Common Multiple of 403 and 411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 403 and 411, than apply into the LCM equation.
GCF(403,411) = 1
LCM(403,411) = ( 403 × 411) / 1
LCM(403,411) = 165633 / 1
LCM(403,411) = 165633
Properties of LCM 403 and 411
(i) The LCM of 411 and 403 is associative
LCM of 403 and 411 = LCM of 411 and 403
Related Least Common Multiples of 403
Related Least Common Multiples of 411
Frequently Asked Questions on LCM of 403 and 411
1. What is the LCM of 403 and 411?
Answer: LCM of 403 and 411 is 165633.
2. 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.
3. What are the Factors of 411?
Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.
4. How to Find the LCM of 403 and 411?
Answer:
Least Common Multiple of 403 and 411 = 165633
Step 1: Find the prime factorization of 403
403 = 13 x 31
Step 2: Find the prime factorization of 411
411 = 3 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 165633 = 3 x 13 x 31 x 137
Step 4: Therefore, the least common multiple of 403 and 411 is 165633.
