Least Common Multiple (LCM) of 165 and 124
The least common multiple (LCM) of 165 and 124 is 20460.
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 124?
First, calculate the GCD of 165 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 124 = 1 remainder 41 |
| 2 | 124 ÷ 41 = 3 remainder 1 |
| 3 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 141 | 6063 |
| 159 and 191 | 30369 |
| 172 and 15 | 2580 |
| 159 and 158 | 25122 |
| 188 and 63 | 11844 |