Least Common Multiple (LCM) of 127 and 141
The least common multiple (LCM) of 127 and 141 is 17907.
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 141?
First, calculate the GCD of 127 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 141 = 0 remainder 127 |
| 2 | 141 ÷ 127 = 1 remainder 14 |
| 3 | 127 ÷ 14 = 9 remainder 1 |
| 4 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 46 | 46 |
| 98 and 148 | 7252 |
| 126 and 193 | 24318 |
| 161 and 69 | 483 |
| 51 and 165 | 2805 |