Least Common Multiple of 1599 and 1607
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1599 and 1607 the smallest integer that is 2569593 that is divisible by both numbers.
Least Common Multiple (LCM) of 1599 and 1607 is 2569593.
LCM(1599,1607) = 2569593
LCM of 1599 and 1607
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1599 and 1607 by Prime method
- Least Common Multiple of 1599 and 1607 with GCF Formula
LCM of 1599 and 1607 is 2569593
Least common multiple can be found by multiplying the highest exponent prime factors of 1599 and 1607. First we will calculate the prime factors of 1599 and 1607.
Prime Factorization of 1599
| 3 | 1599 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 1599 are 3, 13,41. Prime factorization of 1599 in exponential form is:
1599 = 31×131×411
Prime Factorization of 1607
| 1607 | 1607 |
| 1 |
Prime factors of 1607 are 1607. Prime factorization of 1607 in exponential form is:
1607 = 16071
Now multiplying the highest exponent prime factors to calculate the LCM of 1599 and 1607.
LCM(1599,1607) = 31×131×411×16071
LCM(1599,1607) = 2569593
Factors of 1599
List of positive integer factors of 1599 that divides 1599 without a remainder.
1, 3, 13, 39, 41, 123, 533, 1599
Factors of 1607
List of positive integer factors of 1607 that divides 1607 without a remainder.
1, 1607
Least Common Multiple of 1599 and 1607 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1599 and 1607, than apply into the LCM equation.
GCF(1599,1607) = 1
LCM(1599,1607) = ( 1599 × 1607) / 1
LCM(1599,1607) = 2569593 / 1
LCM(1599,1607) = 2569593
Properties of LCM 1599 and 1607
(i) The LCM of 1607 and 1599 is associative
LCM of 1599 and 1607 = LCM of 1607 and 1599
Related Least Common Multiples of 1599
Related Least Common Multiples of 1607
Frequently Asked Questions on LCM of 1599 and 1607
1. What is the LCM of 1599 and 1607?
Answer: LCM of 1599 and 1607 is 2569593.
2. What are the Factors of 1599?
Answer: Factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599. There are 8 integers that are factors of 1599. The greatest factor of 1599 is 1599.
3. What are the Factors of 1607?
Answer: Factors of 1607 are 1, 1607. There are 2 integers that are factors of 1607. The greatest factor of 1607 is 1607.
4. How to Find the LCM of 1599 and 1607?
Answer:
Least Common Multiple of 1599 and 1607 = 2569593
Step 1: Find the prime factorization of 1599
1599 = 3 x 13 x 41
Step 2: Find the prime factorization of 1607
1607 = 1607
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2569593 = 3 x 13 x 41 x 1607
Step 4: Therefore, the least common multiple of 1599 and 1607 is 2569593.