Least Common Multiple (LCM) of 61 and 125
The least common multiple (LCM) of 61 and 125 is 7625.
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 61 and 125?
First, calculate the GCD of 61 and 125 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 125 = 0 remainder 61 |
| 2 | 125 ÷ 61 = 2 remainder 3 |
| 3 | 61 ÷ 3 = 20 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 30 | 2280 |
| 171 and 141 | 8037 |
| 198 and 14 | 1386 |
| 120 and 130 | 1560 |
| 17 and 129 | 2193 |