Least Common Multiple (LCM) of 165 and 50
The least common multiple (LCM) of 165 and 50 is 1650.
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 50?
First, calculate the GCD of 165 and 50 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 50 = 3 remainder 15 |
| 2 | 50 ÷ 15 = 3 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 183 | 19947 |
| 106 and 139 | 14734 |
| 179 and 13 | 2327 |
| 53 and 124 | 6572 |
| 46 and 96 | 2208 |