Least Common Multiple (LCM) of 125 and 194
The least common multiple (LCM) of 125 and 194 is 24250.
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 125 and 194?
First, calculate the GCD of 125 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 194 = 0 remainder 125 |
| 2 | 194 ÷ 125 = 1 remainder 69 |
| 3 | 125 ÷ 69 = 1 remainder 56 |
| 4 | 69 ÷ 56 = 1 remainder 13 |
| 5 | 56 ÷ 13 = 4 remainder 4 |
| 6 | 13 ÷ 4 = 3 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 197 | 20882 |
| 130 and 109 | 14170 |
| 34 and 154 | 2618 |
| 25 and 72 | 1800 |
| 129 and 139 | 17931 |