Least Common Multiple (LCM) of 125 and 186
The least common multiple (LCM) of 125 and 186 is 23250.
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 186?
First, calculate the GCD of 125 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 186 = 0 remainder 125 |
| 2 | 186 ÷ 125 = 1 remainder 61 |
| 3 | 125 ÷ 61 = 2 remainder 3 |
| 4 | 61 ÷ 3 = 20 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 36 and 64 | 576 |
| 167 and 124 | 20708 |
| 55 and 38 | 2090 |
| 25 and 112 | 2800 |
| 174 and 110 | 9570 |