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 |
|---|---|
| 129 and 93 | 3999 |
| 27 and 98 | 2646 |
| 149 and 56 | 8344 |
| 190 and 133 | 1330 |
| 30 and 93 | 930 |