Least Common Multiple of 3495 and 3503
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 3503 the smallest integer that is 12242985 that is divisible by both numbers.
Least Common Multiple (LCM) of 3495 and 3503 is 12242985.
LCM(3495,3503) = 12242985
LCM of 3495 and 3503
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3495 and 3503 by Prime method
- Least Common Multiple of 3495 and 3503 with GCF Formula
LCM of 3495 and 3503 is 12242985
Least common multiple can be found by multiplying the highest exponent prime factors of 3495 and 3503. First we will calculate the prime factors of 3495 and 3503.
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 3503
| 31 | 3503 |
| 113 | 113 |
| 1 |
Prime factors of 3503 are 31,113. Prime factorization of 3503 in exponential form is:
3503 = 311×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 3495 and 3503.
LCM(3495,3503) = 31×51×311×1131×2331
LCM(3495,3503) = 12242985
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 3503
List of positive integer factors of 3503 that divides 3503 without a remainder.
1, 31, 113, 3503
Least Common Multiple of 3495 and 3503 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 3503, than apply into the LCM equation.
GCF(3495,3503) = 1
LCM(3495,3503) = ( 3495 × 3503) / 1
LCM(3495,3503) = 12242985 / 1
LCM(3495,3503) = 12242985
Properties of LCM 3495 and 3503
(i) The LCM of 3503 and 3495 is associative
LCM of 3495 and 3503 = LCM of 3503 and 3495
Related Least Common Multiples of 3495
Related Least Common Multiples of 3503
Frequently Asked Questions on LCM of 3495 and 3503
1. What is the LCM of 3495 and 3503?
Answer: LCM of 3495 and 3503 is 12242985.
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 3503?
Answer: Factors of 3503 are 1, 31, 113, 3503. There are 4 integers that are factors of 3503. The greatest factor of 3503 is 3503.
4. How to Find the LCM of 3495 and 3503?
Answer:
Least Common Multiple of 3495 and 3503 = 12242985
Step 1: Find the prime factorization of 3495
3495 = 3 x 5 x 233
Step 2: Find the prime factorization of 3503
3503 = 31 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12242985 = 3 x 5 x 31 x 113 x 233
Step 4: Therefore, the least common multiple of 3495 and 3503 is 12242985.