Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3491 and 3495 the smallest integer that is 12201045 that is divisible by both numbers.
Least Common Multiple (LCM) of 3491 and 3495 is 12201045.
LCM(3491,3495) = 12201045
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 3491 and 3495. First we will calculate the prime factors of 3491 and 3495.
Prime Factorization of 3491
3491 | 3491 |
1 |
Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:
3491 = 34911
Prime Factorization of 3495
3 | 3495 |
5 | 1165 |
233 | 233 |
1 |
Prime factors of 3495 are 3, 5,233. Prime factorization of 3495 in exponential form is:
3495 = 31×51×2331
Now multiplying the highest exponent prime factors to calculate the LCM of 3491 and 3495.
LCM(3491,3495) = 31×51×2331×34911
LCM(3491,3495) = 12201045
Factors of 3491
List of positive integer factors of 3491 that divides 3491 without a remainder.
1, 3491
Factors of 3495
List of positive integer factors of 3495 that divides 3495 without a remainder.
1, 3, 5, 15, 233, 699, 1165, 3495
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3491 and 3495, than apply into the LCM equation.
GCF(3491,3495) = 1
LCM(3491,3495) = ( 3491 × 3495) / 1
LCM(3491,3495) = 12201045 / 1
LCM(3491,3495) = 12201045
(i) The LCM of 3495 and 3491 is associative
LCM of 3491 and 3495 = LCM of 3495 and 3491
1. What is the LCM of 3491 and 3495?
Answer: LCM of 3491 and 3495 is 12201045.
2. What are the Factors of 3491?
Answer: Factors of 3491 are 1, 3491. There are 2 integers that are factors of 3491. The greatest factor of 3491 is 3491.
3. What are the Factors of 3495?
Answer: Factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495. There are 8 integers that are factors of 3495. The greatest factor of 3495 is 3495.
4. How to Find the LCM of 3491 and 3495?
Answer:
Least Common Multiple of 3491 and 3495 = 12201045
Step 1: Find the prime factorization of 3491
3491 = 3491
Step 2: Find the prime factorization of 3495
3495 = 3 x 5 x 233
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12201045 = 3 x 5 x 233 x 3491
Step 4: Therefore, the least common multiple of 3491 and 3495 is 12201045.