Least Common Multiple (LCM) of 135 and 124
The least common multiple (LCM) of 135 and 124 is 16740.
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 135 and 124?
First, calculate the GCD of 135 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 124 = 1 remainder 11 |
| 2 | 124 ÷ 11 = 11 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 38 | 152 |
| 67 and 14 | 938 |
| 74 and 98 | 3626 |
| 173 and 36 | 6228 |
| 199 and 89 | 17711 |