Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3613 and 3619 the smallest integer that is 13075447 that is divisible by both numbers.
Least Common Multiple (LCM) of 3613 and 3619 is 13075447.
LCM(3613,3619) = 13075447
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 3613 and 3619. First we will calculate the prime factors of 3613 and 3619.
Prime Factorization of 3613
3613 | 3613 |
1 |
Prime factors of 3613 are 3613. Prime factorization of 3613 in exponential form is:
3613 = 36131
Prime Factorization of 3619
7 | 3619 |
11 | 517 |
47 | 47 |
1 |
Prime factors of 3619 are 7, 11,47. Prime factorization of 3619 in exponential form is:
3619 = 71×111×471
Now multiplying the highest exponent prime factors to calculate the LCM of 3613 and 3619.
LCM(3613,3619) = 71×111×471×36131
LCM(3613,3619) = 13075447
Factors of 3613
List of positive integer factors of 3613 that divides 3613 without a remainder.
1, 3613
Factors of 3619
List of positive integer factors of 3619 that divides 3619 without a remainder.
1, 7, 11, 47, 77, 329, 517, 3619
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3613 and 3619, than apply into the LCM equation.
GCF(3613,3619) = 1
LCM(3613,3619) = ( 3613 × 3619) / 1
LCM(3613,3619) = 13075447 / 1
LCM(3613,3619) = 13075447
(i) The LCM of 3619 and 3613 is associative
LCM of 3613 and 3619 = LCM of 3619 and 3613
1. What is the LCM of 3613 and 3619?
Answer: LCM of 3613 and 3619 is 13075447.
2. What are the Factors of 3613?
Answer: Factors of 3613 are 1, 3613. There are 2 integers that are factors of 3613. The greatest factor of 3613 is 3613.
3. What are the Factors of 3619?
Answer: Factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619. There are 8 integers that are factors of 3619. The greatest factor of 3619 is 3619.
4. How to Find the LCM of 3613 and 3619?
Answer:
Least Common Multiple of 3613 and 3619 = 13075447
Step 1: Find the prime factorization of 3613
3613 = 3613
Step 2: Find the prime factorization of 3619
3619 = 7 x 11 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13075447 = 7 x 11 x 47 x 3613
Step 4: Therefore, the least common multiple of 3613 and 3619 is 13075447.