Least Common Multiple (LCM) of 110 and 127
The least common multiple (LCM) of 110 and 127 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 110 and 127?
First, calculate the GCD of 110 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 127 = 0 remainder 110 |
| 2 | 127 ÷ 110 = 1 remainder 17 |
| 3 | 110 ÷ 17 = 6 remainder 8 |
| 4 | 17 ÷ 8 = 2 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 138 | 138 |
| 56 and 60 | 840 |
| 60 and 119 | 7140 |
| 155 and 115 | 3565 |
| 91 and 146 | 13286 |