Least Common Multiple (LCM) of 124 and 185
The least common multiple (LCM) of 124 and 185 is 22940.
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 185?
First, calculate the GCD of 124 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 185 = 0 remainder 124 |
| 2 | 185 ÷ 124 = 1 remainder 61 |
| 3 | 124 ÷ 61 = 2 remainder 2 |
| 4 | 61 ÷ 2 = 30 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 167 | 21710 |
| 197 and 180 | 35460 |
| 37 and 100 | 3700 |
| 82 and 75 | 6150 |
| 74 and 182 | 6734 |