Least Common Multiple (LCM) of 127 and 162
The least common multiple (LCM) of 127 and 162 is 20574.
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 162?
First, calculate the GCD of 127 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 162 = 0 remainder 127 |
| 2 | 162 ÷ 127 = 1 remainder 35 |
| 3 | 127 ÷ 35 = 3 remainder 22 |
| 4 | 35 ÷ 22 = 1 remainder 13 |
| 5 | 22 ÷ 13 = 1 remainder 9 |
| 6 | 13 ÷ 9 = 1 remainder 4 |
| 7 | 9 ÷ 4 = 2 remainder 1 |
| 8 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 163 | 14670 |
| 19 and 15 | 285 |
| 137 and 152 | 20824 |
| 51 and 91 | 4641 |
| 190 and 163 | 30970 |