Least Common Multiple (LCM) of 124 and 40
The least common multiple (LCM) of 124 and 40 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 124 and 40?
First, calculate the GCD of 124 and 40 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 40 = 3 remainder 4 |
| 2 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 20 | 2020 |
| 147 and 67 | 9849 |
| 106 and 20 | 1060 |
| 119 and 100 | 11900 |
| 172 and 195 | 33540 |