Least Common Multiple (LCM) of 156 and 125
The least common multiple (LCM) of 156 and 125 is 19500.
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 156 and 125?
First, calculate the GCD of 156 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 125 = 1 remainder 31 |
| 2 | 125 ÷ 31 = 4 remainder 1 |
| 3 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 25 | 825 |
| 99 and 145 | 14355 |
| 195 and 105 | 1365 |
| 17 and 78 | 1326 |
| 17 and 34 | 34 |