Least Common Multiple (LCM) of 127 and 158
The least common multiple (LCM) of 127 and 158 is 20066.
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 158?
First, calculate the GCD of 127 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 158 = 0 remainder 127 |
| 2 | 158 ÷ 127 = 1 remainder 31 |
| 3 | 127 ÷ 31 = 4 remainder 3 |
| 4 | 31 ÷ 3 = 10 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 110 | 1430 |
| 12 and 97 | 1164 |
| 18 and 60 | 180 |
| 43 and 100 | 4300 |
| 20 and 73 | 1460 |