Least Common Multiple of 3492 and 3499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3492 and 3499 the smallest integer that is 12218508 that is divisible by both numbers.
Least Common Multiple (LCM) of 3492 and 3499 is 12218508.
LCM(3492,3499) = 12218508
LCM of 3492 and 3499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3492 and 3499 by Prime method
- Least Common Multiple of 3492 and 3499 with GCF Formula
LCM of 3492 and 3499 is 12218508
Least common multiple can be found by multiplying the highest exponent prime factors of 3492 and 3499. First we will calculate the prime factors of 3492 and 3499.
Prime Factorization of 3492
| 2 | 3492 |
| 2 | 1746 |
| 3 | 873 |
| 3 | 291 |
| 97 | 97 |
| 1 |
Prime factors of 3492 are 2, 3,97. Prime factorization of 3492 in exponential form is:
3492 = 22×32×971
Prime Factorization of 3499
| 3499 | 3499 |
| 1 |
Prime factors of 3499 are 3499. Prime factorization of 3499 in exponential form is:
3499 = 34991
Now multiplying the highest exponent prime factors to calculate the LCM of 3492 and 3499.
LCM(3492,3499) = 22×32×971×34991
LCM(3492,3499) = 12218508
Factors of 3492
List of positive integer factors of 3492 that divides 3492 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492
Factors of 3499
List of positive integer factors of 3499 that divides 3499 without a remainder.
1, 3499
Least Common Multiple of 3492 and 3499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3492 and 3499, than apply into the LCM equation.
GCF(3492,3499) = 1
LCM(3492,3499) = ( 3492 × 3499) / 1
LCM(3492,3499) = 12218508 / 1
LCM(3492,3499) = 12218508
Properties of LCM 3492 and 3499
(i) The LCM of 3499 and 3492 is associative
LCM of 3492 and 3499 = LCM of 3499 and 3492
Related Least Common Multiples of 3492
Related Least Common Multiples of 3499
Frequently Asked Questions on LCM of 3492 and 3499
1. What is the LCM of 3492 and 3499?
Answer: LCM of 3492 and 3499 is 12218508.
2. What are the Factors of 3492?
Answer: Factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. There are 18 integers that are factors of 3492. The greatest factor of 3492 is 3492.
3. What are the Factors of 3499?
Answer: Factors of 3499 are 1, 3499. There are 2 integers that are factors of 3499. The greatest factor of 3499 is 3499.
4. How to Find the LCM of 3492 and 3499?
Answer:
Least Common Multiple of 3492 and 3499 = 12218508
Step 1: Find the prime factorization of 3492
3492 = 2 x 2 x 3 x 3 x 97
Step 2: Find the prime factorization of 3499
3499 = 3499
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12218508 = 2 x 2 x 3 x 3 x 97 x 3499
Step 4: Therefore, the least common multiple of 3492 and 3499 is 12218508.