Least Common Multiple (LCM) of 125 and 97
The least common multiple (LCM) of 125 and 97 is 12125.
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 97?
First, calculate the GCD of 125 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 97 = 1 remainder 28 |
| 2 | 97 ÷ 28 = 3 remainder 13 |
| 3 | 28 ÷ 13 = 2 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 178 | 5518 |
| 196 and 110 | 10780 |
| 17 and 125 | 2125 |
| 139 and 138 | 19182 |
| 150 and 142 | 10650 |