Least Common Multiple (LCM) of 125 and 42
The least common multiple (LCM) of 125 and 42 is 5250.
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 42?
First, calculate the GCD of 125 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 42 = 2 remainder 41 |
| 2 | 42 ÷ 41 = 1 remainder 1 |
| 3 | 41 ÷ 1 = 41 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 142 | 9514 |
| 139 and 194 | 26966 |
| 143 and 72 | 10296 |
| 183 and 164 | 30012 |
| 43 and 192 | 8256 |