Least Common Multiple (LCM) of 115 and 114
The least common multiple (LCM) of 115 and 114 is 13110.
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 115 and 114?
First, calculate the GCD of 115 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 114 = 1 remainder 1 |
| 2 | 114 ÷ 1 = 114 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 33 | 1320 |
| 167 and 70 | 11690 |
| 131 and 16 | 2096 |
| 159 and 118 | 18762 |
| 55 and 180 | 1980 |