Least Common Multiple (LCM) of 124 and 146
The least common multiple (LCM) of 124 and 146 is 9052.
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 146?
First, calculate the GCD of 124 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 146 = 0 remainder 124 |
| 2 | 146 ÷ 124 = 1 remainder 22 |
| 3 | 124 ÷ 22 = 5 remainder 14 |
| 4 | 22 ÷ 14 = 1 remainder 8 |
| 5 | 14 ÷ 8 = 1 remainder 6 |
| 6 | 8 ÷ 6 = 1 remainder 2 |
| 7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 160 | 29280 |
| 115 and 196 | 22540 |
| 134 and 157 | 21038 |
| 73 and 172 | 12556 |
| 113 and 108 | 12204 |