Least Common Multiple (LCM) of 142 and 125
The least common multiple (LCM) of 142 and 125 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 142 and 125?
First, calculate the GCD of 142 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 125 = 1 remainder 17 |
| 2 | 125 ÷ 17 = 7 remainder 6 |
| 3 | 17 ÷ 6 = 2 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 126 | 2898 |
| 126 and 113 | 14238 |
| 157 and 109 | 17113 |
| 104 and 112 | 1456 |
| 193 and 47 | 9071 |