Least Common Multiple (LCM) of 150 and 125
The least common multiple (LCM) of 150 and 125 is 750.
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 150 and 125?
First, calculate the GCD of 150 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 125 = 1 remainder 25 |
| 2 | 125 ÷ 25 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 16 and 48 | 48 |
| 111 and 149 | 16539 |
| 17 and 190 | 3230 |
| 160 and 88 | 1760 |
| 40 and 116 | 1160 |