Least Common Multiple (LCM) of 148 and 165
The least common multiple (LCM) of 148 and 165 is 24420.
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 148 and 165?
First, calculate the GCD of 148 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 165 = 0 remainder 148 |
| 2 | 165 ÷ 148 = 1 remainder 17 |
| 3 | 148 ÷ 17 = 8 remainder 12 |
| 4 | 17 ÷ 12 = 1 remainder 5 |
| 5 | 12 ÷ 5 = 2 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 24 | 360 |
| 164 and 71 | 11644 |
| 37 and 144 | 5328 |
| 90 and 155 | 2790 |
| 122 and 98 | 5978 |