Least Common Multiple (LCM) of 125 and 38
The least common multiple (LCM) of 125 and 38 is 4750.
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 38?
First, calculate the GCD of 125 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 38 = 3 remainder 11 |
| 2 | 38 ÷ 11 = 3 remainder 5 |
| 3 | 11 ÷ 5 = 2 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 73 and 180 | 13140 |
| 189 and 26 | 4914 |
| 157 and 30 | 4710 |
| 39 and 175 | 6825 |
| 102 and 56 | 2856 |