Least Common Multiple of 3278 and 3285
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3278 and 3285 the smallest integer that is 10768230 that is divisible by both numbers.
Least Common Multiple (LCM) of 3278 and 3285 is 10768230.
LCM(3278,3285) = 10768230
LCM of 3278 and 3285
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3278 and 3285 by Prime method
- Least Common Multiple of 3278 and 3285 with GCF Formula
LCM of 3278 and 3285 is 10768230
Least common multiple can be found by multiplying the highest exponent prime factors of 3278 and 3285. First we will calculate the prime factors of 3278 and 3285.
Prime Factorization of 3278
| 2 | 3278 |
| 11 | 1639 |
| 149 | 149 |
| 1 |
Prime factors of 3278 are 2, 11,149. Prime factorization of 3278 in exponential form is:
3278 = 21×111×1491
Prime Factorization of 3285
| 3 | 3285 |
| 3 | 1095 |
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 3285 are 3, 5,73. Prime factorization of 3285 in exponential form is:
3285 = 32×51×731
Now multiplying the highest exponent prime factors to calculate the LCM of 3278 and 3285.
LCM(3278,3285) = 21×32×51×111×731×1491
LCM(3278,3285) = 10768230
Factors of 3278
List of positive integer factors of 3278 that divides 3278 without a remainder.
1, 2, 11, 22, 149, 298, 1639, 3278
Factors of 3285
List of positive integer factors of 3285 that divides 3285 without a remainder.
1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285
Least Common Multiple of 3278 and 3285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3278 and 3285, than apply into the LCM equation.
GCF(3278,3285) = 1
LCM(3278,3285) = ( 3278 × 3285) / 1
LCM(3278,3285) = 10768230 / 1
LCM(3278,3285) = 10768230
Properties of LCM 3278 and 3285
(i) The LCM of 3285 and 3278 is associative
LCM of 3278 and 3285 = LCM of 3285 and 3278
Related Least Common Multiples of 3278
Related Least Common Multiples of 3285
Frequently Asked Questions on LCM of 3278 and 3285
1. What is the LCM of 3278 and 3285?
Answer: LCM of 3278 and 3285 is 10768230.
2. What are the Factors of 3278?
Answer: Factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278. There are 8 integers that are factors of 3278. The greatest factor of 3278 is 3278.
3. What are the Factors of 3285?
Answer: Factors of 3285 are 1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095, 3285. There are 12 integers that are factors of 3285. The greatest factor of 3285 is 3285.
4. How to Find the LCM of 3278 and 3285?
Answer:
Least Common Multiple of 3278 and 3285 = 10768230
Step 1: Find the prime factorization of 3278
3278 = 2 x 11 x 149
Step 2: Find the prime factorization of 3285
3285 = 3 x 3 x 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10768230 = 2 x 3 x 3 x 5 x 11 x 73 x 149
Step 4: Therefore, the least common multiple of 3278 and 3285 is 10768230.