Least Common Multiple (LCM) of 127 and 114
The least common multiple (LCM) of 127 and 114 is 14478.
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 114?
First, calculate the GCD of 127 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 114 = 1 remainder 13 |
| 2 | 114 ÷ 13 = 8 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 107 | 17869 |
| 53 and 127 | 6731 |
| 174 and 10 | 870 |
| 25 and 49 | 1225 |
| 128 and 200 | 3200 |