Least Common Multiple of 3619 and 3627
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3619 and 3627 the smallest integer that is 13126113 that is divisible by both numbers.
Least Common Multiple (LCM) of 3619 and 3627 is 13126113.
LCM(3619,3627) = 13126113
LCM of 3619 and 3627
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3619 and 3627 by Prime method
- Least Common Multiple of 3619 and 3627 with GCF Formula
LCM of 3619 and 3627 is 13126113
Least common multiple can be found by multiplying the highest exponent prime factors of 3619 and 3627. First we will calculate the prime factors of 3619 and 3627.
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
Prime Factorization of 3627
| 3 | 3627 |
| 3 | 1209 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 3627 are 3, 13,31. Prime factorization of 3627 in exponential form is:
3627 = 32×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 3619 and 3627.
LCM(3619,3627) = 32×71×111×131×311×471
LCM(3619,3627) = 13126113
Factors of 3619
List of positive integer factors of 3619 that divides 3619 without a remainder.
1, 7, 11, 47, 77, 329, 517, 3619
Factors of 3627
List of positive integer factors of 3627 that divides 3627 without a remainder.
1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627
Least Common Multiple of 3619 and 3627 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3619 and 3627, than apply into the LCM equation.
GCF(3619,3627) = 1
LCM(3619,3627) = ( 3619 × 3627) / 1
LCM(3619,3627) = 13126113 / 1
LCM(3619,3627) = 13126113
Properties of LCM 3619 and 3627
(i) The LCM of 3627 and 3619 is associative
LCM of 3619 and 3627 = LCM of 3627 and 3619
Related Least Common Multiples of 3619
Related Least Common Multiples of 3627
Frequently Asked Questions on LCM of 3619 and 3627
1. What is the LCM of 3619 and 3627?
Answer: LCM of 3619 and 3627 is 13126113.
2. 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.
3. What are the Factors of 3627?
Answer: Factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627. There are 12 integers that are factors of 3627. The greatest factor of 3627 is 3627.
4. How to Find the LCM of 3619 and 3627?
Answer:
Least Common Multiple of 3619 and 3627 = 13126113
Step 1: Find the prime factorization of 3619
3619 = 7 x 11 x 47
Step 2: Find the prime factorization of 3627
3627 = 3 x 3 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 13126113 = 3 x 3 x 7 x 11 x 13 x 31 x 47
Step 4: Therefore, the least common multiple of 3619 and 3627 is 13126113.