Least Common Multiple (LCM) of 40 and 124
The least common multiple (LCM) of 40 and 124 is 1240.
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 40 and 124?
First, calculate the GCD of 40 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 40 ÷ 124 = 0 remainder 40 |
| 2 | 124 ÷ 40 = 3 remainder 4 |
| 3 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 132 | 132 |
| 174 and 163 | 28362 |
| 36 and 90 | 180 |
| 117 and 51 | 1989 |
| 14 and 18 | 126 |