Least Common Multiple (LCM) of 140 and 125
The least common multiple (LCM) of 140 and 125 is 3500.
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 140 and 125?
First, calculate the GCD of 140 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 125 = 1 remainder 15 |
| 2 | 125 ÷ 15 = 8 remainder 5 |
| 3 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 194 and 144 | 13968 |
| 106 and 109 | 11554 |
| 159 and 90 | 4770 |
| 61 and 28 | 1708 |
| 63 and 22 | 1386 |