Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3493 and 3498 the smallest integer that is 12218514 that is divisible by both numbers.
Least Common Multiple (LCM) of 3493 and 3498 is 12218514.
LCM(3493,3498) = 12218514
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 3493 and 3498. First we will calculate the prime factors of 3493 and 3498.
Prime Factorization of 3493
7 | 3493 |
499 | 499 |
1 |
Prime factors of 3493 are 7,499. Prime factorization of 3493 in exponential form is:
3493 = 71×4991
Prime Factorization of 3498
2 | 3498 |
3 | 1749 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 3498 are 2, 3, 11,53. Prime factorization of 3498 in exponential form is:
3498 = 21×31×111×531
Now multiplying the highest exponent prime factors to calculate the LCM of 3493 and 3498.
LCM(3493,3498) = 21×31×71×111×531×4991
LCM(3493,3498) = 12218514
Factors of 3493
List of positive integer factors of 3493 that divides 3493 without a remainder.
1, 7, 499, 3493
Factors of 3498
List of positive integer factors of 3498 that divides 3498 without a remainder.
1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3493 and 3498, than apply into the LCM equation.
GCF(3493,3498) = 1
LCM(3493,3498) = ( 3493 × 3498) / 1
LCM(3493,3498) = 12218514 / 1
LCM(3493,3498) = 12218514
(i) The LCM of 3498 and 3493 is associative
LCM of 3493 and 3498 = LCM of 3498 and 3493
1. What is the LCM of 3493 and 3498?
Answer: LCM of 3493 and 3498 is 12218514.
2. What are the Factors of 3493?
Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.
3. What are the Factors of 3498?
Answer: Factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498. There are 16 integers that are factors of 3498. The greatest factor of 3498 is 3498.
4. How to Find the LCM of 3493 and 3498?
Answer:
Least Common Multiple of 3493 and 3498 = 12218514
Step 1: Find the prime factorization of 3493
3493 = 7 x 499
Step 2: Find the prime factorization of 3498
3498 = 2 x 3 x 11 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12218514 = 2 x 3 x 7 x 11 x 53 x 499
Step 4: Therefore, the least common multiple of 3493 and 3498 is 12218514.