Least Common Multiple (LCM) of 148 and 38
The least common multiple (LCM) of 148 and 38 is 2812.
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 38?
First, calculate the GCD of 148 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 38 = 3 remainder 34 |
| 2 | 38 ÷ 34 = 1 remainder 4 |
| 3 | 34 ÷ 4 = 8 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 68 | 4012 |
| 153 and 190 | 29070 |
| 171 and 137 | 23427 |
| 69 and 161 | 483 |
| 17 and 84 | 1428 |