Least Common Multiple (LCM) of 195 and 124
The least common multiple (LCM) of 195 and 124 is 24180.
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 195 and 124?
First, calculate the GCD of 195 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 195 ÷ 124 = 1 remainder 71 |
| 2 | 124 ÷ 71 = 1 remainder 53 |
| 3 | 71 ÷ 53 = 1 remainder 18 |
| 4 | 53 ÷ 18 = 2 remainder 17 |
| 5 | 18 ÷ 17 = 1 remainder 1 |
| 6 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 74 | 9990 |
| 133 and 114 | 798 |
| 13 and 90 | 1170 |
| 197 and 160 | 31520 |
| 52 and 17 | 884 |