Least Common Multiple of 3495 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 3495 and 3499 the smallest integer that is 12229005 that is divisible by both numbers.
Least Common Multiple (LCM) of 3495 and 3499 is 12229005.
LCM(3495,3499) = 12229005
LCM of 3495 and 3499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3495 and 3499 by Prime method
- Least Common Multiple of 3495 and 3499 with GCF Formula
LCM of 3495 and 3499 is 12229005
Least common multiple can be found by multiplying the highest exponent prime factors of 3495 and 3499. First we will calculate the prime factors of 3495 and 3499.
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
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 3495 and 3499.
LCM(3495,3499) = 31×51×2331×34991
LCM(3495,3499) = 12229005
Factors of 3495
List of positive integer factors of 3495 that divides 3495 without a remainder.
1, 3, 5, 15, 233, 699, 1165, 3495
Factors of 3499
List of positive integer factors of 3499 that divides 3499 without a remainder.
1, 3499
Least Common Multiple of 3495 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 3495 and 3499, than apply into the LCM equation.
GCF(3495,3499) = 1
LCM(3495,3499) = ( 3495 × 3499) / 1
LCM(3495,3499) = 12229005 / 1
LCM(3495,3499) = 12229005
Properties of LCM 3495 and 3499
(i) The LCM of 3499 and 3495 is associative
LCM of 3495 and 3499 = LCM of 3499 and 3495
Related Least Common Multiples of 3495
Related Least Common Multiples of 3499
Frequently Asked Questions on LCM of 3495 and 3499
1. What is the LCM of 3495 and 3499?
Answer: LCM of 3495 and 3499 is 12229005.
2. 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.
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 3495 and 3499?
Answer:
Least Common Multiple of 3495 and 3499 = 12229005
Step 1: Find the prime factorization of 3495
3495 = 3 x 5 x 233
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 = 12229005 = 3 x 5 x 233 x 3499
Step 4: Therefore, the least common multiple of 3495 and 3499 is 12229005.