Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3496 and 3502 the smallest integer that is 6121496 that is divisible by both numbers.
Least Common Multiple (LCM) of 3496 and 3502 is 6121496.
LCM(3496,3502) = 6121496
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 3496 and 3502. First we will calculate the prime factors of 3496 and 3502.
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
Prime Factorization of 3502
2 | 3502 |
17 | 1751 |
103 | 103 |
1 |
Prime factors of 3502 are 2, 17,103. Prime factorization of 3502 in exponential form is:
3502 = 21×171×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 3496 and 3502.
LCM(3496,3502) = 23×171×191×231×1031
LCM(3496,3502) = 6121496
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
Factors of 3502
List of positive integer factors of 3502 that divides 3502 without a remainder.
1, 2, 17, 34, 103, 206, 1751, 3502
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3496 and 3502, than apply into the LCM equation.
GCF(3496,3502) = 2
LCM(3496,3502) = ( 3496 × 3502) / 2
LCM(3496,3502) = 12242992 / 2
LCM(3496,3502) = 6121496
(i) The LCM of 3502 and 3496 is associative
LCM of 3496 and 3502 = LCM of 3502 and 3496
1. What is the LCM of 3496 and 3502?
Answer: LCM of 3496 and 3502 is 6121496.
2. 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.
3. What are the Factors of 3502?
Answer: Factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502. There are 8 integers that are factors of 3502. The greatest factor of 3502 is 3502.
4. How to Find the LCM of 3496 and 3502?
Answer:
Least Common Multiple of 3496 and 3502 = 6121496
Step 1: Find the prime factorization of 3496
3496 = 2 x 2 x 2 x 19 x 23
Step 2: Find the prime factorization of 3502
3502 = 2 x 17 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6121496 = 2 x 2 x 2 x 17 x 19 x 23 x 103
Step 4: Therefore, the least common multiple of 3496 and 3502 is 6121496.