Least Common Multiple of 1606 and 1613
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1606 and 1613 the smallest integer that is 2590478 that is divisible by both numbers.
Least Common Multiple (LCM) of 1606 and 1613 is 2590478.
LCM(1606,1613) = 2590478
LCM of 1606 and 1613
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1606 and 1613 by Prime method
- Least Common Multiple of 1606 and 1613 with GCF Formula
LCM of 1606 and 1613 is 2590478
Least common multiple can be found by multiplying the highest exponent prime factors of 1606 and 1613. First we will calculate the prime factors of 1606 and 1613.
Prime Factorization of 1606
| 2 | 1606 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 1606 are 2, 11,73. Prime factorization of 1606 in exponential form is:
1606 = 21×111×731
Prime Factorization of 1613
| 1613 | 1613 |
| 1 |
Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:
1613 = 16131
Now multiplying the highest exponent prime factors to calculate the LCM of 1606 and 1613.
LCM(1606,1613) = 21×111×731×16131
LCM(1606,1613) = 2590478
Factors of 1606
List of positive integer factors of 1606 that divides 1606 without a remainder.
1, 2, 11, 22, 73, 146, 803, 1606
Factors of 1613
List of positive integer factors of 1613 that divides 1613 without a remainder.
1, 1613
Least Common Multiple of 1606 and 1613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1606 and 1613, than apply into the LCM equation.
GCF(1606,1613) = 1
LCM(1606,1613) = ( 1606 × 1613) / 1
LCM(1606,1613) = 2590478 / 1
LCM(1606,1613) = 2590478
Properties of LCM 1606 and 1613
(i) The LCM of 1613 and 1606 is associative
LCM of 1606 and 1613 = LCM of 1613 and 1606
Related Least Common Multiples of 1606
Related Least Common Multiples of 1613
Frequently Asked Questions on LCM of 1606 and 1613
1. What is the LCM of 1606 and 1613?
Answer: LCM of 1606 and 1613 is 2590478.
2. What are the Factors of 1606?
Answer: Factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606. There are 8 integers that are factors of 1606. The greatest factor of 1606 is 1606.
3. What are the Factors of 1613?
Answer: Factors of 1613 are 1, 1613. There are 2 integers that are factors of 1613. The greatest factor of 1613 is 1613.
4. How to Find the LCM of 1606 and 1613?
Answer:
Least Common Multiple of 1606 and 1613 = 2590478
Step 1: Find the prime factorization of 1606
1606 = 2 x 11 x 73
Step 2: Find the prime factorization of 1613
1613 = 1613
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2590478 = 2 x 11 x 73 x 1613
Step 4: Therefore, the least common multiple of 1606 and 1613 is 2590478.