Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3513 and 3516 the smallest integer that is 4117236 that is divisible by both numbers.
Least Common Multiple (LCM) of 3513 and 3516 is 4117236.
LCM(3513,3516) = 4117236
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 3513 and 3516. First we will calculate the prime factors of 3513 and 3516.
Prime Factorization of 3513
3 | 3513 |
1171 | 1171 |
1 |
Prime factors of 3513 are 3,1171. Prime factorization of 3513 in exponential form is:
3513 = 31×11711
Prime Factorization of 3516
2 | 3516 |
2 | 1758 |
3 | 879 |
293 | 293 |
1 |
Prime factors of 3516 are 2, 3,293. Prime factorization of 3516 in exponential form is:
3516 = 22×31×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 3513 and 3516.
LCM(3513,3516) = 22×31×2931×11711
LCM(3513,3516) = 4117236
Factors of 3513
List of positive integer factors of 3513 that divides 3513 without a remainder.
1, 3, 1171, 3513
Factors of 3516
List of positive integer factors of 3516 that divides 3516 without a remainder.
1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3513 and 3516, than apply into the LCM equation.
GCF(3513,3516) = 3
LCM(3513,3516) = ( 3513 × 3516) / 3
LCM(3513,3516) = 12351708 / 3
LCM(3513,3516) = 4117236
(i) The LCM of 3516 and 3513 is associative
LCM of 3513 and 3516 = LCM of 3516 and 3513
1. What is the LCM of 3513 and 3516?
Answer: LCM of 3513 and 3516 is 4117236.
2. What are the Factors of 3513?
Answer: Factors of 3513 are 1, 3, 1171, 3513. There are 4 integers that are factors of 3513. The greatest factor of 3513 is 3513.
3. What are the Factors of 3516?
Answer: Factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516. There are 12 integers that are factors of 3516. The greatest factor of 3516 is 3516.
4. How to Find the LCM of 3513 and 3516?
Answer:
Least Common Multiple of 3513 and 3516 = 4117236
Step 1: Find the prime factorization of 3513
3513 = 3 x 1171
Step 2: Find the prime factorization of 3516
3516 = 2 x 2 x 3 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4117236 = 2 x 2 x 3 x 293 x 1171
Step 4: Therefore, the least common multiple of 3513 and 3516 is 4117236.