Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3279 and 3286 the smallest integer that is 10774794 that is divisible by both numbers.
Least Common Multiple (LCM) of 3279 and 3286 is 10774794.
LCM(3279,3286) = 10774794
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 3279 and 3286. First we will calculate the prime factors of 3279 and 3286.
Prime Factorization of 3279
3 | 3279 |
1093 | 1093 |
1 |
Prime factors of 3279 are 3,1093. Prime factorization of 3279 in exponential form is:
3279 = 31×10931
Prime Factorization of 3286
2 | 3286 |
31 | 1643 |
53 | 53 |
1 |
Prime factors of 3286 are 2, 31,53. Prime factorization of 3286 in exponential form is:
3286 = 21×311×531
Now multiplying the highest exponent prime factors to calculate the LCM of 3279 and 3286.
LCM(3279,3286) = 21×31×311×531×10931
LCM(3279,3286) = 10774794
Factors of 3279
List of positive integer factors of 3279 that divides 3279 without a remainder.
1, 3, 1093, 3279
Factors of 3286
List of positive integer factors of 3286 that divides 3286 without a remainder.
1, 2, 31, 53, 62, 106, 1643, 3286
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3279 and 3286, than apply into the LCM equation.
GCF(3279,3286) = 1
LCM(3279,3286) = ( 3279 × 3286) / 1
LCM(3279,3286) = 10774794 / 1
LCM(3279,3286) = 10774794
(i) The LCM of 3286 and 3279 is associative
LCM of 3279 and 3286 = LCM of 3286 and 3279
1. What is the LCM of 3279 and 3286?
Answer: LCM of 3279 and 3286 is 10774794.
2. What are the Factors of 3279?
Answer: Factors of 3279 are 1, 3, 1093, 3279. There are 4 integers that are factors of 3279. The greatest factor of 3279 is 3279.
3. What are the Factors of 3286?
Answer: Factors of 3286 are 1, 2, 31, 53, 62, 106, 1643, 3286. There are 8 integers that are factors of 3286. The greatest factor of 3286 is 3286.
4. How to Find the LCM of 3279 and 3286?
Answer:
Least Common Multiple of 3279 and 3286 = 10774794
Step 1: Find the prime factorization of 3279
3279 = 3 x 1093
Step 2: Find the prime factorization of 3286
3286 = 2 x 31 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10774794 = 2 x 3 x 31 x 53 x 1093
Step 4: Therefore, the least common multiple of 3279 and 3286 is 10774794.