Least Common Multiple (LCM) of 124 and 115
The least common multiple (LCM) of 124 and 115 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 124 and 115?
First, calculate the GCD of 124 and 115 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 115 = 1 remainder 9 |
| 2 | 115 ÷ 9 = 12 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 50 | 5450 |
| 19 and 43 | 817 |
| 61 and 68 | 4148 |
| 59 and 149 | 8791 |
| 167 and 44 | 7348 |