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 |
|---|---|
| 158 and 67 | 10586 |
| 110 and 141 | 15510 |
| 115 and 64 | 7360 |
| 143 and 38 | 5434 |
| 120 and 142 | 8520 |