Least Common Multiple (LCM) of 14 and 125
The least common multiple (LCM) of 14 and 125 is 1750.
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 14 and 125?
First, calculate the GCD of 14 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 14 ÷ 125 = 0 remainder 14 |
| 2 | 125 ÷ 14 = 8 remainder 13 |
| 3 | 14 ÷ 13 = 1 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 96 | 7968 |
| 147 and 62 | 9114 |
| 119 and 21 | 357 |
| 50 and 50 | 50 |
| 42 and 19 | 798 |