Least Common Multiple (LCM) of 127 and 110
The least common multiple (LCM) of 127 and 110 is 13970.
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 110?
First, calculate the GCD of 127 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 110 = 1 remainder 17 |
| 2 | 110 ÷ 17 = 6 remainder 8 |
| 3 | 17 ÷ 8 = 2 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 71 | 11502 |
| 65 and 63 | 4095 |
| 10 and 100 | 100 |
| 110 and 54 | 2970 |
| 175 and 24 | 4200 |