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 |
|---|---|
| 179 and 176 | 31504 |
| 113 and 121 | 13673 |
| 38 and 61 | 2318 |
| 200 and 166 | 16600 |
| 131 and 103 | 13493 |