Least Common Multiple of 3258 and 3263
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3258 and 3263 the smallest integer that is 10630854 that is divisible by both numbers.
Least Common Multiple (LCM) of 3258 and 3263 is 10630854.
LCM(3258,3263) = 10630854
LCM of 3258 and 3263
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3258 and 3263 by Prime method
- Least Common Multiple of 3258 and 3263 with GCF Formula
LCM of 3258 and 3263 is 10630854
Least common multiple can be found by multiplying the highest exponent prime factors of 3258 and 3263. First we will calculate the prime factors of 3258 and 3263.
Prime Factorization of 3258
| 2 | 3258 |
| 3 | 1629 |
| 3 | 543 |
| 181 | 181 |
| 1 |
Prime factors of 3258 are 2, 3,181. Prime factorization of 3258 in exponential form is:
3258 = 21×32×1811
Prime Factorization of 3263
| 13 | 3263 |
| 251 | 251 |
| 1 |
Prime factors of 3263 are 13,251. Prime factorization of 3263 in exponential form is:
3263 = 131×2511
Now multiplying the highest exponent prime factors to calculate the LCM of 3258 and 3263.
LCM(3258,3263) = 21×32×131×1811×2511
LCM(3258,3263) = 10630854
Factors of 3258
List of positive integer factors of 3258 that divides 3258 without a remainder.
1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
Factors of 3263
List of positive integer factors of 3263 that divides 3263 without a remainder.
1, 13, 251, 3263
Least Common Multiple of 3258 and 3263 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3258 and 3263, than apply into the LCM equation.
GCF(3258,3263) = 1
LCM(3258,3263) = ( 3258 × 3263) / 1
LCM(3258,3263) = 10630854 / 1
LCM(3258,3263) = 10630854
Properties of LCM 3258 and 3263
(i) The LCM of 3263 and 3258 is associative
LCM of 3258 and 3263 = LCM of 3263 and 3258
Related Least Common Multiples of 3258
Related Least Common Multiples of 3263
Frequently Asked Questions on LCM of 3258 and 3263
1. What is the LCM of 3258 and 3263?
Answer: LCM of 3258 and 3263 is 10630854.
2. What are the Factors of 3258?
Answer: Factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258. There are 12 integers that are factors of 3258. The greatest factor of 3258 is 3258.
3. What are the Factors of 3263?
Answer: Factors of 3263 are 1, 13, 251, 3263. There are 4 integers that are factors of 3263. The greatest factor of 3263 is 3263.
4. How to Find the LCM of 3258 and 3263?
Answer:
Least Common Multiple of 3258 and 3263 = 10630854
Step 1: Find the prime factorization of 3258
3258 = 2 x 3 x 3 x 181
Step 2: Find the prime factorization of 3263
3263 = 13 x 251
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10630854 = 2 x 3 x 3 x 13 x 181 x 251
Step 4: Therefore, the least common multiple of 3258 and 3263 is 10630854.