Least Common Multiple (LCM) of 124 and 84
The least common multiple (LCM) of 124 and 84 is 2604.
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 84?
First, calculate the GCD of 124 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 84 = 1 remainder 40 |
| 2 | 84 ÷ 40 = 2 remainder 4 |
| 3 | 40 ÷ 4 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 107 | 3210 |
| 191 and 104 | 19864 |
| 10 and 116 | 580 |
| 127 and 116 | 14732 |
| 166 and 58 | 4814 |