Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3817 and 3823 the smallest integer that is 14592391 that is divisible by both numbers.
Least Common Multiple (LCM) of 3817 and 3823 is 14592391.
LCM(3817,3823) = 14592391
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 3817 and 3823. First we will calculate the prime factors of 3817 and 3823.
Prime Factorization of 3817
11 | 3817 |
347 | 347 |
1 |
Prime factors of 3817 are 11,347. Prime factorization of 3817 in exponential form is:
3817 = 111×3471
Prime Factorization of 3823
3823 | 3823 |
1 |
Prime factors of 3823 are 3823. Prime factorization of 3823 in exponential form is:
3823 = 38231
Now multiplying the highest exponent prime factors to calculate the LCM of 3817 and 3823.
LCM(3817,3823) = 111×3471×38231
LCM(3817,3823) = 14592391
Factors of 3817
List of positive integer factors of 3817 that divides 3817 without a remainder.
1, 11, 347, 3817
Factors of 3823
List of positive integer factors of 3823 that divides 3823 without a remainder.
1, 3823
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3817 and 3823, than apply into the LCM equation.
GCF(3817,3823) = 1
LCM(3817,3823) = ( 3817 × 3823) / 1
LCM(3817,3823) = 14592391 / 1
LCM(3817,3823) = 14592391
(i) The LCM of 3823 and 3817 is associative
LCM of 3817 and 3823 = LCM of 3823 and 3817
1. What is the LCM of 3817 and 3823?
Answer: LCM of 3817 and 3823 is 14592391.
2. What are the Factors of 3817?
Answer: Factors of 3817 are 1, 11, 347, 3817. There are 4 integers that are factors of 3817. The greatest factor of 3817 is 3817.
3. What are the Factors of 3823?
Answer: Factors of 3823 are 1, 3823. There are 2 integers that are factors of 3823. The greatest factor of 3823 is 3823.
4. How to Find the LCM of 3817 and 3823?
Answer:
Least Common Multiple of 3817 and 3823 = 14592391
Step 1: Find the prime factorization of 3817
3817 = 11 x 347
Step 2: Find the prime factorization of 3823
3823 = 3823
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14592391 = 11 x 347 x 3823
Step 4: Therefore, the least common multiple of 3817 and 3823 is 14592391.