Least Common Multiple (LCM) of 125 and 140
The least common multiple (LCM) of 125 and 140 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 125 and 140?
First, calculate the GCD of 125 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 140 = 0 remainder 125 |
| 2 | 140 ÷ 125 = 1 remainder 15 |
| 3 | 125 ÷ 15 = 8 remainder 5 |
| 4 | 15 ÷ 5 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 77 | 770 |
| 38 and 129 | 4902 |
| 33 and 68 | 2244 |
| 146 and 190 | 13870 |
| 49 and 121 | 5929 |