Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3275 and 3279 the smallest integer that is 10738725 that is divisible by both numbers.
Least Common Multiple (LCM) of 3275 and 3279 is 10738725.
LCM(3275,3279) = 10738725
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 3275 and 3279. First we will calculate the prime factors of 3275 and 3279.
Prime Factorization of 3275
5 | 3275 |
5 | 655 |
131 | 131 |
1 |
Prime factors of 3275 are 5,131. Prime factorization of 3275 in exponential form is:
3275 = 52×1311
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3275 and 3279.
LCM(3275,3279) = 31×52×1311×10931
LCM(3275,3279) = 10738725
Factors of 3275
List of positive integer factors of 3275 that divides 3275 without a remainder.
1, 5, 25, 131, 655, 3275
Factors of 3279
List of positive integer factors of 3279 that divides 3279 without a remainder.
1, 3, 1093, 3279
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3275 and 3279, than apply into the LCM equation.
GCF(3275,3279) = 1
LCM(3275,3279) = ( 3275 × 3279) / 1
LCM(3275,3279) = 10738725 / 1
LCM(3275,3279) = 10738725
(i) The LCM of 3279 and 3275 is associative
LCM of 3275 and 3279 = LCM of 3279 and 3275
1. What is the LCM of 3275 and 3279?
Answer: LCM of 3275 and 3279 is 10738725.
2. What are the Factors of 3275?
Answer: Factors of 3275 are 1, 5, 25, 131, 655, 3275. There are 6 integers that are factors of 3275. The greatest factor of 3275 is 3275.
3. 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.
4. How to Find the LCM of 3275 and 3279?
Answer:
Least Common Multiple of 3275 and 3279 = 10738725
Step 1: Find the prime factorization of 3275
3275 = 5 x 5 x 131
Step 2: Find the prime factorization of 3279
3279 = 3 x 1093
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10738725 = 3 x 5 x 5 x 131 x 1093
Step 4: Therefore, the least common multiple of 3275 and 3279 is 10738725.