Least Common Multiple (LCM) of 141 and 165
The least common multiple (LCM) of 141 and 165 is 7755.
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 141 and 165?
First, calculate the GCD of 141 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 165 = 0 remainder 141 |
| 2 | 165 ÷ 141 = 1 remainder 24 |
| 3 | 141 ÷ 24 = 5 remainder 21 |
| 4 | 24 ÷ 21 = 1 remainder 3 |
| 5 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 75 | 900 |
| 116 and 179 | 20764 |
| 151 and 69 | 10419 |
| 138 and 188 | 12972 |
| 38 and 122 | 2318 |