Least Common Multiple (LCM) of 148 and 127
The least common multiple (LCM) of 148 and 127 is 18796.
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 127?
First, calculate the GCD of 148 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 127 = 1 remainder 21 |
| 2 | 127 ÷ 21 = 6 remainder 1 |
| 3 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 145 | 24215 |
| 12 and 146 | 876 |
| 52 and 140 | 1820 |
| 200 and 80 | 400 |
| 108 and 174 | 3132 |