Least Common Multiple (LCM) of 125 and 142
The least common multiple (LCM) of 125 and 142 is 17750.
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 142?
First, calculate the GCD of 125 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 142 = 0 remainder 125 |
| 2 | 142 ÷ 125 = 1 remainder 17 |
| 3 | 125 ÷ 17 = 7 remainder 6 |
| 4 | 17 ÷ 6 = 2 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 199 | 16915 |
| 180 and 197 | 35460 |
| 115 and 138 | 690 |
| 95 and 141 | 13395 |
| 64 and 78 | 2496 |