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 3496 the smallest integer that is 12204536 that is divisible by both numbers.
Least Common Multiple (LCM) of 3491 and 3496 is 12204536.
LCM(3491,3496) = 12204536
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 3496. First we will calculate the prime factors of 3491 and 3496.
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 3496
2 | 3496 |
2 | 1748 |
2 | 874 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 3496 are 2, 19,23. Prime factorization of 3496 in exponential form is:
3496 = 23×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3491 and 3496.
LCM(3491,3496) = 23×191×231×34911
LCM(3491,3496) = 12204536
Factors of 3491
List of positive integer factors of 3491 that divides 3491 without a remainder.
1, 3491
Factors of 3496
List of positive integer factors of 3496 that divides 3496 without a remainder.
1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3491 and 3496, than apply into the LCM equation.
GCF(3491,3496) = 1
LCM(3491,3496) = ( 3491 × 3496) / 1
LCM(3491,3496) = 12204536 / 1
LCM(3491,3496) = 12204536
(i) The LCM of 3496 and 3491 is associative
LCM of 3491 and 3496 = LCM of 3496 and 3491
1. What is the LCM of 3491 and 3496?
Answer: LCM of 3491 and 3496 is 12204536.
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 3496?
Answer: Factors of 3496 are 1, 2, 4, 8, 19, 23, 38, 46, 76, 92, 152, 184, 437, 874, 1748, 3496. There are 16 integers that are factors of 3496. The greatest factor of 3496 is 3496.
4. How to Find the LCM of 3491 and 3496?
Answer:
Least Common Multiple of 3491 and 3496 = 12204536
Step 1: Find the prime factorization of 3491
3491 = 3491
Step 2: Find the prime factorization of 3496
3496 = 2 x 2 x 2 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12204536 = 2 x 2 x 2 x 19 x 23 x 3491
Step 4: Therefore, the least common multiple of 3491 and 3496 is 12204536.