Least Common Multiple (LCM) of 127 and 163
The least common multiple (LCM) of 127 and 163 is 20701.
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 163?
First, calculate the GCD of 127 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 163 = 0 remainder 127 |
| 2 | 163 ÷ 127 = 1 remainder 36 |
| 3 | 127 ÷ 36 = 3 remainder 19 |
| 4 | 36 ÷ 19 = 1 remainder 17 |
| 5 | 19 ÷ 17 = 1 remainder 2 |
| 6 | 17 ÷ 2 = 8 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 157 | 23707 |
| 80 and 91 | 7280 |
| 119 and 193 | 22967 |
| 31 and 189 | 5859 |
| 52 and 154 | 4004 |