Least Common Multiple (LCM) of 124 and 41
The least common multiple (LCM) of 124 and 41 is 5084.
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 41?
First, calculate the GCD of 124 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 41 = 3 remainder 1 |
| 2 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 167 | 30728 |
| 28 and 110 | 1540 |
| 28 and 25 | 700 |
| 152 and 155 | 23560 |
| 36 and 180 | 180 |