Least Common Multiple (LCM) of 165 and 127
The least common multiple (LCM) of 165 and 127 is 20955.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 165 and 127?
First, calculate the GCD of 165 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 127 = 1 remainder 38 |
| 2 | 127 ÷ 38 = 3 remainder 13 |
| 3 | 38 ÷ 13 = 2 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 105 | 5040 |
| 35 and 50 | 350 |
| 93 and 60 | 1860 |
| 124 and 87 | 10788 |
| 88 and 17 | 1496 |