Least Common Multiple (LCM) of 127 and 143
The least common multiple (LCM) of 127 and 143 is 18161.
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 143?
First, calculate the GCD of 127 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 143 = 0 remainder 127 |
| 2 | 143 ÷ 127 = 1 remainder 16 |
| 3 | 127 ÷ 16 = 7 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 139 and 32 | 4448 |
| 37 and 27 | 999 |
| 93 and 166 | 15438 |
| 158 and 129 | 20382 |
| 158 and 196 | 15484 |