Least Common Multiple (LCM) of 127 and 148
The least common multiple (LCM) of 127 and 148 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 127 and 148?
First, calculate the GCD of 127 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 148 = 0 remainder 127 |
| 2 | 148 ÷ 127 = 1 remainder 21 |
| 3 | 127 ÷ 21 = 6 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 79 | 12798 |
| 137 and 158 | 21646 |
| 47 and 135 | 6345 |
| 20 and 43 | 860 |
| 17 and 187 | 187 |