Least Common Multiple (LCM) of 115 and 124
The least common multiple (LCM) of 115 and 124 is 14260.
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 124?
First, calculate the GCD of 115 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 115 ÷ 124 = 0 remainder 115 |
| 2 | 124 ÷ 115 = 1 remainder 9 |
| 3 | 115 ÷ 9 = 12 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 143 | 24310 |
| 35 and 174 | 6090 |
| 115 and 92 | 460 |
| 191 and 153 | 29223 |
| 19 and 70 | 1330 |