Least Common Multiple (LCM) of 141 and 127
The least common multiple (LCM) of 141 and 127 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 141 and 127?
First, calculate the GCD of 141 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 127 = 1 remainder 14 |
| 2 | 127 ÷ 14 = 9 remainder 1 |
| 3 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 70 | 910 |
| 183 and 72 | 4392 |
| 154 and 93 | 14322 |
| 11 and 180 | 1980 |
| 105 and 75 | 525 |